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Finding the Fourth Proportional to 101,456.16, 152,203.38 and 31,319.10

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Solution

The fourth proportional to 101,456.16, 152,203.38 and 31,319.10 is: 46,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,456.16 : 152,203.38 = 31,319.10 : x
  2. Step 2: Convert to fraction form
    101,456.16/152,203.38 = 31,319.10/x
  3. Step 3: Cross multiply
    101,456.16x = 152,203.38 × 31,319.10
  4. Step 4: Simplify right side
    101,456.16x = 4,766,872,878.56
  5. Step 5: Solve for x
    x = 4,766,872,878.56/101,456.16
  6. Step 6: Final answer
    x = 46,984.56

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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.