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Finding the Fourth Proportional to 78,310.43, 108,012.55 and 71,870.81

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Solution

The fourth proportional to 78,310.43, 108,012.55 and 71,870.81 is: 99,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,310.43 : 108,012.55 = 71,870.81 : x
  2. Step 2: Convert to fraction form
    78,310.43/108,012.55 = 71,870.81/x
  3. Step 3: Cross multiply
    78,310.43x = 108,012.55 × 71,870.81
  4. Step 4: Simplify right side
    78,310.43x = 7,762,949,886.30
  5. Step 5: Solve for x
    x = 7,762,949,886.30/78,310.43
  6. Step 6: Final answer
    x = 99,130.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.