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Finding the Fourth Proportional to 106,168.79, 159,254.42 and 42,142.65

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Solution

The fourth proportional to 106,168.79, 159,254.42 and 42,142.65 is: 63,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,168.79 : 159,254.42 = 42,142.65 : x
  2. Step 2: Convert to fraction form
    106,168.79/159,254.42 = 42,142.65/x
  3. Step 3: Cross multiply
    106,168.79x = 159,254.42 × 42,142.65
  4. Step 4: Simplify right side
    106,168.79x = 6,711,403,072.30
  5. Step 5: Solve for x
    x = 6,711,403,072.30/106,168.79
  6. Step 6: Final answer
    x = 63,214.47

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1.5x scale

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.