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Finding the Fourth Proportional to 78,318.47, 108,079.60 and 42,508.47

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Solution

The fourth proportional to 78,318.47, 108,079.60 and 42,508.47 is: 58,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,318.47 : 108,079.60 = 42,508.47 : x
  2. Step 2: Convert to fraction form
    78,318.47/108,079.60 = 42,508.47/x
  3. Step 3: Cross multiply
    78,318.47x = 108,079.60 × 42,508.47
  4. Step 4: Simplify right side
    78,318.47x = 4,594,298,327.94
  5. Step 5: Solve for x
    x = 4,594,298,327.94/78,318.47
  6. Step 6: Final answer
    x = 58,661.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.