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Finding the Fourth Proportional to 138,101.76, 190,564.88 and 77,671.12

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Solution

The fourth proportional to 138,101.76, 190,564.88 and 77,671.12 is: 107,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,101.76 : 190,564.88 = 77,671.12 : x
  2. Step 2: Convert to fraction form
    138,101.76/190,564.88 = 77,671.12/x
  3. Step 3: Cross multiply
    138,101.76x = 190,564.88 × 77,671.12
  4. Step 4: Simplify right side
    138,101.76x = 14,801,387,662.27
  5. Step 5: Solve for x
    x = 14,801,387,662.27/138,101.76
  6. Step 6: Final answer
    x = 107,177.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.