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Finding the Fourth Proportional to 78,318.51, 108,079.64 and 42,508.53

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Solution

The fourth proportional to 78,318.51, 108,079.64 and 42,508.53 is: 58,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,318.51 : 108,079.64 = 42,508.53 : x
  2. Step 2: Convert to fraction form
    78,318.51/108,079.64 = 42,508.53/x
  3. Step 3: Cross multiply
    78,318.51x = 108,079.64 × 42,508.53
  4. Step 4: Simplify right side
    78,318.51x = 4,594,306,619.33
  5. Step 5: Solve for x
    x = 4,594,306,619.33/78,318.51
  6. Step 6: Final answer
    x = 58,661.82

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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.