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Finding the Fourth Proportional to 102,666.30, 154,114.65 and 79,395.90

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Solution

The fourth proportional to 102,666.30, 154,114.65 and 79,395.90 is: 119,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.30 : 154,114.65 = 79,395.90 : x
  2. Step 2: Convert to fraction form
    102,666.30/154,114.65 = 79,395.90/x
  3. Step 3: Cross multiply
    102,666.30x = 154,114.65 × 79,395.90
  4. Step 4: Simplify right side
    102,666.30x = 12,236,071,339.94
  5. Step 5: Solve for x
    x = 12,236,071,339.94/102,666.30
  6. Step 6: Final answer
    x = 119,182.94

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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.