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Finding the Fourth Proportional to 75,129.49, 103,681.49 and 42,869.36

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Solution

The fourth proportional to 75,129.49, 103,681.49 and 42,869.36 is: 59,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,129.49 : 103,681.49 = 42,869.36 : x
  2. Step 2: Convert to fraction form
    75,129.49/103,681.49 = 42,869.36/x
  3. Step 3: Cross multiply
    75,129.49x = 103,681.49 × 42,869.36
  4. Step 4: Simplify right side
    75,129.49x = 4,444,758,387.39
  5. Step 5: Solve for x
    x = 4,444,758,387.39/75,129.49
  6. Step 6: Final answer
    x = 59,161.30

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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.