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Finding the Fourth Proportional to 115,411.64, 159,142.52 and 75,050.55

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Solution

The fourth proportional to 115,411.64, 159,142.52 and 75,050.55 is: 103,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,411.64 : 159,142.52 = 75,050.55 : x
  2. Step 2: Convert to fraction form
    115,411.64/159,142.52 = 75,050.55/x
  3. Step 3: Cross multiply
    115,411.64x = 159,142.52 × 75,050.55
  4. Step 4: Simplify right side
    115,411.64x = 11,943,733,842.01
  5. Step 5: Solve for x
    x = 11,943,733,842.01/115,411.64
  6. Step 6: Final answer
    x = 103,488.13

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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.