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Finding the Fourth Proportional to 257,257.48, 385,925.10 and 91,032.52

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Solution

The fourth proportional to 257,257.48, 385,925.10 and 91,032.52 is: 136,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,257.48 : 385,925.10 = 91,032.52 : x
  2. Step 2: Convert to fraction form
    257,257.48/385,925.10 = 91,032.52/x
  3. Step 3: Cross multiply
    257,257.48x = 385,925.10 × 91,032.52
  4. Step 4: Simplify right side
    257,257.48x = 35,131,734,384.25
  5. Step 5: Solve for x
    x = 35,131,734,384.25/257,257.48
  6. Step 6: Final answer
    x = 136,562.54

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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.