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Finding the Fourth Proportional to 143,207.52, 214,899.92 and 83,264.16

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Solution

The fourth proportional to 143,207.52, 214,899.92 and 83,264.16 is: 124,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,207.52 : 214,899.92 = 83,264.16 : x
  2. Step 2: Convert to fraction form
    143,207.52/214,899.92 = 83,264.16/x
  3. Step 3: Cross multiply
    143,207.52x = 214,899.92 × 83,264.16
  4. Step 4: Simplify right side
    143,207.52x = 17,893,461,322.87
  5. Step 5: Solve for x
    x = 17,893,461,322.87/143,207.52
  6. Step 6: Final answer
    x = 124,947.78

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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.