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Finding the Fourth Proportional to 102,686.70, 154,030.05 and 90,633.90

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Solution

The fourth proportional to 102,686.70, 154,030.05 and 90,633.90 is: 135,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.70 : 154,030.05 = 90,633.90 : x
  2. Step 2: Convert to fraction form
    102,686.70/154,030.05 = 90,633.90/x
  3. Step 3: Cross multiply
    102,686.70x = 154,030.05 × 90,633.90
  4. Step 4: Simplify right side
    102,686.70x = 13,960,344,148.70
  5. Step 5: Solve for x
    x = 13,960,344,148.70/102,686.70
  6. Step 6: Final answer
    x = 135,950.85

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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.