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Finding the Fourth Proportional to 257,295.90, 385,981.24 and 79,817.06

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Solution

The fourth proportional to 257,295.90, 385,981.24 and 79,817.06 is: 119,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,295.90 : 385,981.24 = 79,817.06 : x
  2. Step 2: Convert to fraction form
    257,295.90/385,981.24 = 79,817.06/x
  3. Step 3: Cross multiply
    257,295.90x = 385,981.24 × 79,817.06
  4. Step 4: Simplify right side
    257,295.90x = 30,807,887,791.95
  5. Step 5: Solve for x
    x = 30,807,887,791.95/257,295.90
  6. Step 6: Final answer
    x = 119,737.19

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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.