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Finding the Fourth Proportional to 75,107.16, 103,659.48 and 42,841.92

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Solution

The fourth proportional to 75,107.16, 103,659.48 and 42,841.92 is: 59,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107.16 : 103,659.48 = 42,841.92 : x
  2. Step 2: Convert to fraction form
    75,107.16/103,659.48 = 42,841.92/x
  3. Step 3: Cross multiply
    75,107.16x = 103,659.48 × 42,841.92
  4. Step 4: Simplify right side
    75,107.16x = 4,440,971,149.40
  5. Step 5: Solve for x
    x = 4,440,971,149.40/75,107.16
  6. Step 6: Final answer
    x = 59,128.47

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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.