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Finding the Fourth Proportional to 86,313.16, 129,417.89 and 33,747.40

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Solution

The fourth proportional to 86,313.16, 129,417.89 and 33,747.40 is: 50,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,313.16 : 129,417.89 = 33,747.40 : x
  2. Step 2: Convert to fraction form
    86,313.16/129,417.89 = 33,747.40/x
  3. Step 3: Cross multiply
    86,313.16x = 129,417.89 × 33,747.40
  4. Step 4: Simplify right side
    86,313.16x = 4,367,516,653.90
  5. Step 5: Solve for x
    x = 4,367,516,653.90/86,313.16
  6. Step 6: Final answer
    x = 50,600.82

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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.