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Finding the Fourth Proportional to 101,010.75, 151,538 and 38,681.25

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Solution

The fourth proportional to 101,010.75, 151,538 and 38,681.25 is: 58,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,010.75 : 151,538 = 38,681.25 : x
  2. Step 2: Convert to fraction form
    101,010.75/151,538 = 38,681.25/x
  3. Step 3: Cross multiply
    101,010.75x = 151,538 × 38,681.25
  4. Step 4: Simplify right side
    101,010.75x = 5,861,679,262.50
  5. Step 5: Solve for x
    x = 5,861,679,262.50/101,010.75
  6. Step 6: Final answer
    x = 58,030.25

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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.