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Finding the Fourth Proportional to 257,486.09, 386,153.53 and 99,676.85

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Solution

The fourth proportional to 257,486.09, 386,153.53 and 99,676.85 is: 149,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,486.09 : 386,153.53 = 99,676.85 : x
  2. Step 2: Convert to fraction form
    257,486.09/386,153.53 = 99,676.85/x
  3. Step 3: Cross multiply
    257,486.09x = 386,153.53 × 99,676.85
  4. Step 4: Simplify right side
    257,486.09x = 38,490,565,306.82
  5. Step 5: Solve for x
    x = 38,490,565,306.82/257,486.09
  6. Step 6: Final answer
    x = 149,486.00

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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.