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Finding the Fourth Proportional to 83,708.48, 115,539.12 and 51,904.64

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Solution

The fourth proportional to 83,708.48, 115,539.12 and 51,904.64 is: 71,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,708.48 : 115,539.12 = 51,904.64 : x
  2. Step 2: Convert to fraction form
    83,708.48/115,539.12 = 51,904.64/x
  3. Step 3: Cross multiply
    83,708.48x = 115,539.12 × 51,904.64
  4. Step 4: Simplify right side
    83,708.48x = 5,997,016,429.52
  5. Step 5: Solve for x
    x = 5,997,016,429.52/83,708.48
  6. Step 6: Final answer
    x = 71,641.68

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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.