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Finding the Fourth Proportional to 83,643.31, 115,399.65 and 53,446.31

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Solution

The fourth proportional to 83,643.31, 115,399.65 and 53,446.31 is: 73,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643.31 : 115,399.65 = 53,446.31 : x
  2. Step 2: Convert to fraction form
    83,643.31/115,399.65 = 53,446.31/x
  3. Step 3: Cross multiply
    83,643.31x = 115,399.65 × 53,446.31
  4. Step 4: Simplify right side
    83,643.31x = 6,167,684,890.79
  5. Step 5: Solve for x
    x = 6,167,684,890.79/83,643.31
  6. Step 6: Final answer
    x = 73,737.94

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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.