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Finding the Fourth Proportional to 106,988.71, 160,478.19 and 40,423.72

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Solution

The fourth proportional to 106,988.71, 160,478.19 and 40,423.72 is: 60,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,988.71 : 160,478.19 = 40,423.72 : x
  2. Step 2: Convert to fraction form
    106,988.71/160,478.19 = 40,423.72/x
  3. Step 3: Cross multiply
    106,988.71x = 160,478.19 × 40,423.72
  4. Step 4: Simplify right side
    106,988.71x = 6,487,125,418.67
  5. Step 5: Solve for x
    x = 6,487,125,418.67/106,988.71
  6. Step 6: Final answer
    x = 60,633.74

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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.