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Finding the Fourth Proportional to 257,123.84, 385,934.52 and 124,097.74

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Solution

The fourth proportional to 257,123.84, 385,934.52 and 124,097.74 is: 186,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,123.84 : 385,934.52 = 124,097.74 : x
  2. Step 2: Convert to fraction form
    257,123.84/385,934.52 = 124,097.74/x
  3. Step 3: Cross multiply
    257,123.84x = 385,934.52 × 124,097.74
  4. Step 4: Simplify right side
    257,123.84x = 47,893,601,220.52
  5. Step 5: Solve for x
    x = 47,893,601,220.52/257,123.84
  6. Step 6: Final answer
    x = 186,266.67

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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.