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Finding the Fourth Proportional to 40,698, 56,153.52 and 23,691.78

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Solution

The fourth proportional to 40,698, 56,153.52 and 23,691.78 is: 32,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698 : 56,153.52 = 23,691.78 : x
  2. Step 2: Convert to fraction form
    40,698/56,153.52 = 23,691.78/x
  3. Step 3: Cross multiply
    40,698x = 56,153.52 × 23,691.78
  4. Step 4: Simplify right side
    40,698x = 1,330,376,842.07
  5. Step 5: Solve for x
    x = 1,330,376,842.07/40,698
  6. Step 6: Final answer
    x = 32,689.00

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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.