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Finding the Fourth Proportional to 257,151.51, 385,491.02 and 88,631.82

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Solution

The fourth proportional to 257,151.51, 385,491.02 and 88,631.82 is: 132,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,151.51 : 385,491.02 = 88,631.82 : x
  2. Step 2: Convert to fraction form
    257,151.51/385,491.02 = 88,631.82/x
  3. Step 3: Cross multiply
    257,151.51x = 385,491.02 × 88,631.82
  4. Step 4: Simplify right side
    257,151.51x = 34,166,770,253.10
  5. Step 5: Solve for x
    x = 34,166,770,253.10/257,151.51
  6. Step 6: Final answer
    x = 132,866.30

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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.