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Finding the Fourth Proportional to 101,855.68, 152,754 and 42,689.76

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Solution

The fourth proportional to 101,855.68, 152,754 and 42,689.76 is: 64,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,855.68 : 152,754 = 42,689.76 : x
  2. Step 2: Convert to fraction form
    101,855.68/152,754 = 42,689.76/x
  3. Step 3: Cross multiply
    101,855.68x = 152,754 × 42,689.76
  4. Step 4: Simplify right side
    101,855.68x = 6,521,031,599.04
  5. Step 5: Solve for x
    x = 6,521,031,599.04/101,855.68
  6. Step 6: Final answer
    x = 64,022.27

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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.