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Finding the Fourth Proportional to 257,711.42, 386,172.59 and 107,870.13

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Solution

The fourth proportional to 257,711.42, 386,172.59 and 107,870.13 is: 161,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,711.42 : 386,172.59 = 107,870.13 : x
  2. Step 2: Convert to fraction form
    257,711.42/386,172.59 = 107,870.13/x
  3. Step 3: Cross multiply
    257,711.42x = 386,172.59 × 107,870.13
  4. Step 4: Simplify right side
    257,711.42x = 41,656,487,249.77
  5. Step 5: Solve for x
    x = 41,656,487,249.77/257,711.42
  6. Step 6: Final answer
    x = 161,640.05

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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.