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Finding the Fourth Proportional to 261,585, 392,381.19 and 74,596.50

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Solution

The fourth proportional to 261,585, 392,381.19 and 74,596.50 is: 111,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,585 : 392,381.19 = 74,596.50 : x
  2. Step 2: Convert to fraction form
    261,585/392,381.19 = 74,596.50/x
  3. Step 3: Cross multiply
    261,585x = 392,381.19 × 74,596.50
  4. Step 4: Simplify right side
    261,585x = 29,270,263,439.84
  5. Step 5: Solve for x
    x = 29,270,263,439.84/261,585
  6. Step 6: Final answer
    x = 111,895.80

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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.