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Finding the Fourth Proportional to 101,024.34, 151,319.43 and 81,963.42

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Solution

The fourth proportional to 101,024.34, 151,319.43 and 81,963.42 is: 122,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,024.34 : 151,319.43 = 81,963.42 : x
  2. Step 2: Convert to fraction form
    101,024.34/151,319.43 = 81,963.42/x
  3. Step 3: Cross multiply
    101,024.34x = 151,319.43 × 81,963.42
  4. Step 4: Simplify right side
    101,024.34x = 12,402,657,995.25
  5. Step 5: Solve for x
    x = 12,402,657,995.25/101,024.34
  6. Step 6: Final answer
    x = 122,769.01

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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.