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Finding the Fourth Proportional to 199,432.69, 299,151.63 and 66,312.95

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Solution

The fourth proportional to 199,432.69, 299,151.63 and 66,312.95 is: 99,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432.69 : 299,151.63 = 66,312.95 : x
  2. Step 2: Convert to fraction form
    199,432.69/299,151.63 = 66,312.95/x
  3. Step 3: Cross multiply
    199,432.69x = 299,151.63 × 66,312.95
  4. Step 4: Simplify right side
    199,432.69x = 19,837,625,586.85
  5. Step 5: Solve for x
    x = 19,837,625,586.85/199,432.69
  6. Step 6: Final answer
    x = 99,470.28

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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.