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Finding the Fourth Proportional to 185,707.98, 278,517.42 and 85,772.34

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Solution

The fourth proportional to 185,707.98, 278,517.42 and 85,772.34 is: 128,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,707.98 : 278,517.42 = 85,772.34 : x
  2. Step 2: Convert to fraction form
    185,707.98/278,517.42 = 85,772.34/x
  3. Step 3: Cross multiply
    185,707.98x = 278,517.42 × 85,772.34
  4. Step 4: Simplify right side
    185,707.98x = 23,889,090,844.16
  5. Step 5: Solve for x
    x = 23,889,090,844.16/185,707.98
  6. Step 6: Final answer
    x = 128,637.93

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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.