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Finding the Fourth Proportional to 75,912, 113,937.44 and 38,497.89

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Solution

The fourth proportional to 75,912, 113,937.44 and 38,497.89 is: 57,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,912 : 113,937.44 = 38,497.89 : x
  2. Step 2: Convert to fraction form
    75,912/113,937.44 = 38,497.89/x
  3. Step 3: Cross multiply
    75,912x = 113,937.44 × 38,497.89
  4. Step 4: Simplify right side
    75,912x = 4,386,350,839.51
  5. Step 5: Solve for x
    x = 4,386,350,839.51/75,912
  6. Step 6: Final answer
    x = 57,782.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.