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Finding the Fourth Proportional to 141,756.66, 212,766.21 and 71,685.18

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Solution

The fourth proportional to 141,756.66, 212,766.21 and 71,685.18 is: 107,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,756.66 : 212,766.21 = 71,685.18 : x
  2. Step 2: Convert to fraction form
    141,756.66/212,766.21 = 71,685.18/x
  3. Step 3: Cross multiply
    141,756.66x = 212,766.21 × 71,685.18
  4. Step 4: Simplify right side
    141,756.66x = 15,252,184,061.77
  5. Step 5: Solve for x
    x = 15,252,184,061.77/141,756.66
  6. Step 6: Final answer
    x = 107,594.13

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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.