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Finding the Fourth Proportional to 139,638.30, 209,457.45 and 83,651.10

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Solution

The fourth proportional to 139,638.30, 209,457.45 and 83,651.10 is: 125,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,638.30 : 209,457.45 = 83,651.10 : x
  2. Step 2: Convert to fraction form
    139,638.30/209,457.45 = 83,651.10/x
  3. Step 3: Cross multiply
    139,638.30x = 209,457.45 × 83,651.10
  4. Step 4: Simplify right side
    139,638.30x = 17,521,346,095.70
  5. Step 5: Solve for x
    x = 17,521,346,095.70/139,638.30
  6. Step 6: Final answer
    x = 125,476.65

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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.