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Finding the Fourth Proportional to 106,689.42, 159,930.11 and 42,628.46

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Solution

The fourth proportional to 106,689.42, 159,930.11 and 42,628.46 is: 63,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,689.42 : 159,930.11 = 42,628.46 : x
  2. Step 2: Convert to fraction form
    106,689.42/159,930.11 = 42,628.46/x
  3. Step 3: Cross multiply
    106,689.42x = 159,930.11 × 42,628.46
  4. Step 4: Simplify right side
    106,689.42x = 6,817,574,296.93
  5. Step 5: Solve for x
    x = 6,817,574,296.93/106,689.42
  6. Step 6: Final answer
    x = 63,901.13

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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.