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Finding the Fourth Proportional to 115,421.76, 159,284.88 and 65,124

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Solution

The fourth proportional to 115,421.76, 159,284.88 and 65,124 is: 89,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,421.76 : 159,284.88 = 65,124 : x
  2. Step 2: Convert to fraction form
    115,421.76/159,284.88 = 65,124/x
  3. Step 3: Cross multiply
    115,421.76x = 159,284.88 × 65,124
  4. Step 4: Simplify right side
    115,421.76x = 10,373,268,525.12
  5. Step 5: Solve for x
    x = 10,373,268,525.12/115,421.76
  6. Step 6: Final answer
    x = 89,872.73

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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.