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Finding the Fourth Proportional to 78,902.40, 118,319.76 and 28,966.08

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Solution

The fourth proportional to 78,902.40, 118,319.76 and 28,966.08 is: 43,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,902.40 : 118,319.76 = 28,966.08 : x
  2. Step 2: Convert to fraction form
    78,902.40/118,319.76 = 28,966.08/x
  3. Step 3: Cross multiply
    78,902.40x = 118,319.76 × 28,966.08
  4. Step 4: Simplify right side
    78,902.40x = 3,427,259,633.74
  5. Step 5: Solve for x
    x = 3,427,259,633.74/78,902.40
  6. Step 6: Final answer
    x = 43,436.70

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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.