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Finding the Fourth Proportional to 101,476.23, 152,215.41 and 45,319.20

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Solution

The fourth proportional to 101,476.23, 152,215.41 and 45,319.20 is: 67,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,476.23 : 152,215.41 = 45,319.20 : x
  2. Step 2: Convert to fraction form
    101,476.23/152,215.41 = 45,319.20/x
  3. Step 3: Cross multiply
    101,476.23x = 152,215.41 × 45,319.20
  4. Step 4: Simplify right side
    101,476.23x = 6,898,280,608.87
  5. Step 5: Solve for x
    x = 6,898,280,608.87/101,476.23
  6. Step 6: Final answer
    x = 67,979.28

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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.