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Finding the Fourth Proportional to 151,871.80, 227,807.70 and 85,314.10

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Solution

The fourth proportional to 151,871.80, 227,807.70 and 85,314.10 is: 127,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,871.80 : 227,807.70 = 85,314.10 : x
  2. Step 2: Convert to fraction form
    151,871.80/227,807.70 = 85,314.10/x
  3. Step 3: Cross multiply
    151,871.80x = 227,807.70 × 85,314.10
  4. Step 4: Simplify right side
    151,871.80x = 19,435,208,898.57
  5. Step 5: Solve for x
    x = 19,435,208,898.57/151,871.80
  6. Step 6: Final answer
    x = 127,971.15

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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.