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Finding the Fourth Proportional to 257,527.42, 386,399.67 and 99,866.86

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Solution

The fourth proportional to 257,527.42, 386,399.67 and 99,866.86 is: 149,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,527.42 : 386,399.67 = 99,866.86 : x
  2. Step 2: Convert to fraction form
    257,527.42/386,399.67 = 99,866.86/x
  3. Step 3: Cross multiply
    257,527.42x = 386,399.67 × 99,866.86
  4. Step 4: Simplify right side
    257,527.42x = 38,588,521,747.94
  5. Step 5: Solve for x
    x = 38,588,521,747.94/257,527.42
  6. Step 6: Final answer
    x = 149,842.38

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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.