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Finding the Fourth Proportional to 257,407.17, 386,113.03 and 105,687.69

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Solution

The fourth proportional to 257,407.17, 386,113.03 and 105,687.69 is: 158,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,407.17 : 386,113.03 = 105,687.69 : x
  2. Step 2: Convert to fraction form
    257,407.17/386,113.03 = 105,687.69/x
  3. Step 3: Cross multiply
    257,407.17x = 386,113.03 × 105,687.69
  4. Step 4: Simplify right side
    257,407.17x = 40,807,394,219.60
  5. Step 5: Solve for x
    x = 40,807,394,219.60/257,407.17
  6. Step 6: Final answer
    x = 158,532.47

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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.