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Finding the Fourth Proportional to 78,420.16, 117,600.80 and 28,487.92

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Solution

The fourth proportional to 78,420.16, 117,600.80 and 28,487.92 is: 42,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.16 : 117,600.80 = 28,487.92 : x
  2. Step 2: Convert to fraction form
    78,420.16/117,600.80 = 28,487.92/x
  3. Step 3: Cross multiply
    78,420.16x = 117,600.80 × 28,487.92
  4. Step 4: Simplify right side
    78,420.16x = 3,350,202,182.34
  5. Step 5: Solve for x
    x = 3,350,202,182.34/78,420.16
  6. Step 6: Final answer
    x = 42,721.19

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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.