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Finding the Fourth Proportional to 78,885,809.20, 118,328,713.80 and 78,885,809.20

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Solution

The fourth proportional to 78,885,809.20, 118,328,713.80 and 78,885,809.20 is: 118,328,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,885,809.20 : 118,328,713.80 = 78,885,809.20 : x
  2. Step 2: Convert to fraction form
    78,885,809.20/118,328,713.80 = 78,885,809.20/x
  3. Step 3: Cross multiply
    78,885,809.20x = 118,328,713.80 × 78,885,809.20
  4. Step 4: Simplify right side
    78,885,809.20x = 9,334,456,339,708,208
  5. Step 5: Solve for x
    x = 9,334,456,339,708,208/78,885,809.20
  6. Step 6: Final answer
    x = 118,328,713.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.