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Finding the Fourth Proportional to 252,106.65, 347,920.14 and 138,929.40

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Solution

The fourth proportional to 252,106.65, 347,920.14 and 138,929.40 is: 191,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,106.65 : 347,920.14 = 138,929.40 : x
  2. Step 2: Convert to fraction form
    252,106.65/347,920.14 = 138,929.40/x
  3. Step 3: Cross multiply
    252,106.65x = 347,920.14 × 138,929.40
  4. Step 4: Simplify right side
    252,106.65x = 48,336,336,298.12
  5. Step 5: Solve for x
    x = 48,336,336,298.12/252,106.65
  6. Step 6: Final answer
    x = 191,729.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.