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Finding the Fourth Proportional to 82,710.63, 124,078.24 and 38,341.86

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Solution

The fourth proportional to 82,710.63, 124,078.24 and 38,341.86 is: 57,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,710.63 : 124,078.24 = 38,341.86 : x
  2. Step 2: Convert to fraction form
    82,710.63/124,078.24 = 38,341.86/x
  3. Step 3: Cross multiply
    82,710.63x = 124,078.24 × 38,341.86
  4. Step 4: Simplify right side
    82,710.63x = 4,757,390,507.13
  5. Step 5: Solve for x
    x = 4,757,390,507.13/82,710.63
  6. Step 6: Final answer
    x = 57,518.49

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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.