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Finding the Fourth Proportional to 101,355.62, 152,058.16 and 71,428.21

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Solution

The fourth proportional to 101,355.62, 152,058.16 and 71,428.21 is: 107,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,355.62 : 152,058.16 = 71,428.21 : x
  2. Step 2: Convert to fraction form
    101,355.62/152,058.16 = 71,428.21/x
  3. Step 3: Cross multiply
    101,355.62x = 152,058.16 × 71,428.21
  4. Step 4: Simplify right side
    101,355.62x = 10,861,242,184.69
  5. Step 5: Solve for x
    x = 10,861,242,184.69/101,355.62
  6. Step 6: Final answer
    x = 107,159.74

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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.