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Finding the Fourth Proportional to 220,038.78, 329,972.08 and 77,829.11

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Solution

The fourth proportional to 220,038.78, 329,972.08 and 77,829.11 is: 116,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,038.78 : 329,972.08 = 77,829.11 : x
  2. Step 2: Convert to fraction form
    220,038.78/329,972.08 = 77,829.11/x
  3. Step 3: Cross multiply
    220,038.78x = 329,972.08 × 77,829.11
  4. Step 4: Simplify right side
    220,038.78x = 25,681,433,311.25
  5. Step 5: Solve for x
    x = 25,681,433,311.25/220,038.78
  6. Step 6: Final answer
    x = 116,713.21

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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.