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Finding the Fourth Proportional to 42,409.70, 63,614.55 and 40,222.70

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Solution

The fourth proportional to 42,409.70, 63,614.55 and 40,222.70 is: 60,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.70 : 63,614.55 = 40,222.70 : x
  2. Step 2: Convert to fraction form
    42,409.70/63,614.55 = 40,222.70/x
  3. Step 3: Cross multiply
    42,409.70x = 63,614.55 × 40,222.70
  4. Step 4: Simplify right side
    42,409.70x = 2,558,748,960.29
  5. Step 5: Solve for x
    x = 2,558,748,960.29/42,409.70
  6. Step 6: Final answer
    x = 60,334.05

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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.