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Finding the Fourth Proportional to 56,742, 78,304.50 and 31,592.04

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Solution

The fourth proportional to 56,742, 78,304.50 and 31,592.04 is: 43,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742 : 78,304.50 = 31,592.04 : x
  2. Step 2: Convert to fraction form
    56,742/78,304.50 = 31,592.04/x
  3. Step 3: Cross multiply
    56,742x = 78,304.50 × 31,592.04
  4. Step 4: Simplify right side
    56,742x = 2,473,798,896.18
  5. Step 5: Solve for x
    x = 2,473,798,896.18/56,742
  6. Step 6: Final answer
    x = 43,597.32

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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.