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Finding the Fourth Proportional to 257,333.72, 386,078.72 and 124,189.16

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Solution

The fourth proportional to 257,333.72, 386,078.72 and 124,189.16 is: 186,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,333.72 : 386,078.72 = 124,189.16 : x
  2. Step 2: Convert to fraction form
    257,333.72/386,078.72 = 124,189.16/x
  3. Step 3: Cross multiply
    257,333.72x = 386,078.72 × 124,189.16
  4. Step 4: Simplify right side
    257,333.72x = 47,946,791,930.68
  5. Step 5: Solve for x
    x = 47,946,791,930.68/257,333.72
  6. Step 6: Final answer
    x = 186,321.45

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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.