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Finding the Fourth Proportional to 257,411.10, 386,116.65 and 91,215.90

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Solution

The fourth proportional to 257,411.10, 386,116.65 and 91,215.90 is: 136,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,411.10 : 386,116.65 = 91,215.90 : x
  2. Step 2: Convert to fraction form
    257,411.10/386,116.65 = 91,215.90/x
  3. Step 3: Cross multiply
    257,411.10x = 386,116.65 × 91,215.90
  4. Step 4: Simplify right side
    257,411.10x = 35,219,977,734.74
  5. Step 5: Solve for x
    x = 35,219,977,734.74/257,411.10
  6. Step 6: Final answer
    x = 136,823.85

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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.