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Finding the Fourth Proportional to 115,886.16, 159,909.67 and 64,891.80

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Solution

The fourth proportional to 115,886.16, 159,909.67 and 64,891.80 is: 89,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,886.16 : 159,909.67 = 64,891.80 : x
  2. Step 2: Convert to fraction form
    115,886.16/159,909.67 = 64,891.80/x
  3. Step 3: Cross multiply
    115,886.16x = 159,909.67 × 64,891.80
  4. Step 4: Simplify right side
    115,886.16x = 10,376,826,323.71
  5. Step 5: Solve for x
    x = 10,376,826,323.71/115,886.16
  6. Step 6: Final answer
    x = 89,543.28

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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.