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Finding the Fourth Proportional to 78,357.40, 108,179.36 and 47,742.04

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Solution

The fourth proportional to 78,357.40, 108,179.36 and 47,742.04 is: 65,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,357.40 : 108,179.36 = 47,742.04 : x
  2. Step 2: Convert to fraction form
    78,357.40/108,179.36 = 47,742.04/x
  3. Step 3: Cross multiply
    78,357.40x = 108,179.36 × 47,742.04
  4. Step 4: Simplify right side
    78,357.40x = 5,164,703,332.29
  5. Step 5: Solve for x
    x = 5,164,703,332.29/78,357.40
  6. Step 6: Final answer
    x = 65,912.13

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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.