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Finding the Fourth Proportional to 157,658.40, 236,487.60 and 57,785.40

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Solution

The fourth proportional to 157,658.40, 236,487.60 and 57,785.40 is: 86,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,658.40 : 236,487.60 = 57,785.40 : x
  2. Step 2: Convert to fraction form
    157,658.40/236,487.60 = 57,785.40/x
  3. Step 3: Cross multiply
    157,658.40x = 236,487.60 × 57,785.40
  4. Step 4: Simplify right side
    157,658.40x = 13,665,530,561.04
  5. Step 5: Solve for x
    x = 13,665,530,561.04/157,658.40
  6. Step 6: Final answer
    x = 86,678.10

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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.