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Finding the Fourth Proportional to 185,505.13, 278,225.43 and 85,656.88

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Solution

The fourth proportional to 185,505.13, 278,225.43 and 85,656.88 is: 128,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,505.13 : 278,225.43 = 85,656.88 : x
  2. Step 2: Convert to fraction form
    185,505.13/278,225.43 = 85,656.88/x
  3. Step 3: Cross multiply
    185,505.13x = 278,225.43 × 85,656.88
  4. Step 4: Simplify right side
    185,505.13x = 23,831,922,270.46
  5. Step 5: Solve for x
    x = 23,831,922,270.46/185,505.13
  6. Step 6: Final answer
    x = 128,470.42

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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.