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Finding the Fourth Proportional to 185,891.42, 278,462.91 and 85,913.93

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Solution

The fourth proportional to 185,891.42, 278,462.91 and 85,913.93 is: 128,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,891.42 : 278,462.91 = 85,913.93 : x
  2. Step 2: Convert to fraction form
    185,891.42/278,462.91 = 85,913.93/x
  3. Step 3: Cross multiply
    185,891.42x = 278,462.91 × 85,913.93
  4. Step 4: Simplify right side
    185,891.42x = 23,923,842,957.34
  5. Step 5: Solve for x
    x = 23,923,842,957.34/185,891.42
  6. Step 6: Final answer
    x = 128,697.94

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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.