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Finding the Fourth Proportional to 78,292,561.60, 109,836,334.40 and 78,292,561.60

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Solution

The fourth proportional to 78,292,561.60, 109,836,334.40 and 78,292,561.60 is: 109,836,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,292,561.60 : 109,836,334.40 = 78,292,561.60 : x
  2. Step 2: Convert to fraction form
    78,292,561.60/109,836,334.40 = 78,292,561.60/x
  3. Step 3: Cross multiply
    78,292,561.60x = 109,836,334.40 × 78,292,561.60
  4. Step 4: Simplify right side
    78,292,561.60x = 8,599,367,976,930,199
  5. Step 5: Solve for x
    x = 8,599,367,976,930,199/78,292,561.60
  6. Step 6: Final answer
    x = 109,836,334.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.