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Finding the Fourth Proportional to 40,700, 56,156.28 and 23,693.78

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Solution

The fourth proportional to 40,700, 56,156.28 and 23,693.78 is: 32,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,700 : 56,156.28 = 23,693.78 : x
  2. Step 2: Convert to fraction form
    40,700/56,156.28 = 23,693.78/x
  3. Step 3: Cross multiply
    40,700x = 56,156.28 × 23,693.78
  4. Step 4: Simplify right side
    40,700x = 1,330,554,543.94
  5. Step 5: Solve for x
    x = 1,330,554,543.94/40,700
  6. Step 6: Final answer
    x = 32,691.76

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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.