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Finding the Fourth Proportional to 106,069.76, 159,148.70 and 42,934.51

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Solution

The fourth proportional to 106,069.76, 159,148.70 and 42,934.51 is: 64,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,069.76 : 159,148.70 = 42,934.51 : x
  2. Step 2: Convert to fraction form
    106,069.76/159,148.70 = 42,934.51/x
  3. Step 3: Cross multiply
    106,069.76x = 159,148.70 × 42,934.51
  4. Step 4: Simplify right side
    106,069.76x = 6,832,970,839.09
  5. Step 5: Solve for x
    x = 6,832,970,839.09/106,069.76
  6. Step 6: Final answer
    x = 64,419.60

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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.