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Finding the Fourth Proportional to 115,715.75, 159,702.51 and 64,731.30

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Solution

The fourth proportional to 115,715.75, 159,702.51 and 64,731.30 is: 89,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,715.75 : 159,702.51 = 64,731.30 : x
  2. Step 2: Convert to fraction form
    115,715.75/159,702.51 = 64,731.30/x
  3. Step 3: Cross multiply
    115,715.75x = 159,702.51 × 64,731.30
  4. Step 4: Simplify right side
    115,715.75x = 10,337,751,085.56
  5. Step 5: Solve for x
    x = 10,337,751,085.56/115,715.75
  6. Step 6: Final answer
    x = 89,337.46

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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.