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Finding the Fourth Proportional to 341,990.20, 513,011.10 and 102,085.17

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Solution

The fourth proportional to 341,990.20, 513,011.10 and 102,085.17 is: 153,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,990.20 : 513,011.10 = 102,085.17 : x
  2. Step 2: Convert to fraction form
    341,990.20/513,011.10 = 102,085.17/x
  3. Step 3: Cross multiply
    341,990.20x = 513,011.10 × 102,085.17
  4. Step 4: Simplify right side
    341,990.20x = 52,370,825,355.39
  5. Step 5: Solve for x
    x = 52,370,825,355.39/341,990.20
  6. Step 6: Final answer
    x = 153,135.46

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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.