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Finding the Fourth Proportional to 257,158.91, 385,551.53 and 107,442.01

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Solution

The fourth proportional to 257,158.91, 385,551.53 and 107,442.01 is: 161,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,158.91 : 385,551.53 = 107,442.01 : x
  2. Step 2: Convert to fraction form
    257,158.91/385,551.53 = 107,442.01/x
  3. Step 3: Cross multiply
    257,158.91x = 385,551.53 × 107,442.01
  4. Step 4: Simplify right side
    257,158.91x = 41,424,432,276.05
  5. Step 5: Solve for x
    x = 41,424,432,276.05/257,158.91
  6. Step 6: Final answer
    x = 161,084.96

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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.