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Finding the Fourth Proportional to 115,955.55, 160,095.42 and 89,049.78

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Solution

The fourth proportional to 115,955.55, 160,095.42 and 89,049.78 is: 122,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,955.55 : 160,095.42 = 89,049.78 : x
  2. Step 2: Convert to fraction form
    115,955.55/160,095.42 = 89,049.78/x
  3. Step 3: Cross multiply
    115,955.55x = 160,095.42 × 89,049.78
  4. Step 4: Simplify right side
    115,955.55x = 14,256,461,930.01
  5. Step 5: Solve for x
    x = 14,256,461,930.01/115,955.55
  6. Step 6: Final answer
    x = 122,947.65

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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.