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Finding the Fourth Proportional to 78,312.80, 117,490.80 and 38,871.20

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Solution

The fourth proportional to 78,312.80, 117,490.80 and 38,871.20 is: 58,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,312.80 : 117,490.80 = 38,871.20 : x
  2. Step 2: Convert to fraction form
    78,312.80/117,490.80 = 38,871.20/x
  3. Step 3: Cross multiply
    78,312.80x = 117,490.80 × 38,871.20
  4. Step 4: Simplify right side
    78,312.80x = 4,567,008,384.96
  5. Step 5: Solve for x
    x = 4,567,008,384.96/78,312.80
  6. Step 6: Final answer
    x = 58,317.52

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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.