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Finding the Fourth Proportional to 102,789, 154,206.18 and 43,675.20

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Solution

The fourth proportional to 102,789, 154,206.18 and 43,675.20 is: 65,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,789 : 154,206.18 = 43,675.20 : x
  2. Step 2: Convert to fraction form
    102,789/154,206.18 = 43,675.20/x
  3. Step 3: Cross multiply
    102,789x = 154,206.18 × 43,675.20
  4. Step 4: Simplify right side
    102,789x = 6,734,985,752.74
  5. Step 5: Solve for x
    x = 6,734,985,752.74/102,789
  6. Step 6: Final answer
    x = 65,522.44

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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.