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Finding the Fourth Proportional to 141,812.16, 212,849.48 and 71,740.68

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Solution

The fourth proportional to 141,812.16, 212,849.48 and 71,740.68 is: 107,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,812.16 : 212,849.48 = 71,740.68 : x
  2. Step 2: Convert to fraction form
    141,812.16/212,849.48 = 71,740.68/x
  3. Step 3: Cross multiply
    141,812.16x = 212,849.48 × 71,740.68
  4. Step 4: Simplify right side
    141,812.16x = 15,269,966,432.85
  5. Step 5: Solve for x
    x = 15,269,966,432.85/141,812.16
  6. Step 6: Final answer
    x = 107,677.41

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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.