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Finding the Fourth Proportional to 257,131.84, 385,946.52 and 124,105.74

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Solution

The fourth proportional to 257,131.84, 385,946.52 and 124,105.74 is: 186,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,131.84 : 385,946.52 = 124,105.74 : x
  2. Step 2: Convert to fraction form
    257,131.84/385,946.52 = 124,105.74/x
  3. Step 3: Cross multiply
    257,131.84x = 385,946.52 × 124,105.74
  4. Step 4: Simplify right side
    257,131.84x = 47,898,178,465.02
  5. Step 5: Solve for x
    x = 47,898,178,465.02/257,131.84
  6. Step 6: Final answer
    x = 186,278.68

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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.