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Finding the Fourth Proportional to 261,432.90, 392,049.72 and 111,742.47

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Solution

The fourth proportional to 261,432.90, 392,049.72 and 111,742.47 is: 167,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,432.90 : 392,049.72 = 111,742.47 : x
  2. Step 2: Convert to fraction form
    261,432.90/392,049.72 = 111,742.47/x
  3. Step 3: Cross multiply
    261,432.90x = 392,049.72 × 111,742.47
  4. Step 4: Simplify right side
    261,432.90x = 43,808,604,075.61
  5. Step 5: Solve for x
    x = 43,808,604,075.61/261,432.90
  6. Step 6: Final answer
    x = 167,571.12

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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.