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Finding the Fourth Proportional to 257,318.52, 385,992.89 and 99,547.80

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Solution

The fourth proportional to 257,318.52, 385,992.89 and 99,547.80 is: 149,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,318.52 : 385,992.89 = 99,547.80 : x
  2. Step 2: Convert to fraction form
    257,318.52/385,992.89 = 99,547.80/x
  3. Step 3: Cross multiply
    257,318.52x = 385,992.89 × 99,547.80
  4. Step 4: Simplify right side
    257,318.52x = 38,424,741,085.18
  5. Step 5: Solve for x
    x = 38,424,741,085.18/257,318.52
  6. Step 6: Final answer
    x = 149,327.54

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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.