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Finding the Fourth Proportional to 130,871.78, 180,599.10 and 72,728.31

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Solution

The fourth proportional to 130,871.78, 180,599.10 and 72,728.31 is: 100,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,871.78 : 180,599.10 = 72,728.31 : x
  2. Step 2: Convert to fraction form
    130,871.78/180,599.10 = 72,728.31/x
  3. Step 3: Cross multiply
    130,871.78x = 180,599.10 × 72,728.31
  4. Step 4: Simplify right side
    130,871.78x = 13,134,668,144.13
  5. Step 5: Solve for x
    x = 13,134,668,144.13/130,871.78
  6. Step 6: Final answer
    x = 100,362.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.