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Finding the Fourth Proportional to 78,175.80, 107,882.76 and 45,904.20

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Solution

The fourth proportional to 78,175.80, 107,882.76 and 45,904.20 is: 63,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.80 : 107,882.76 = 45,904.20 : x
  2. Step 2: Convert to fraction form
    78,175.80/107,882.76 = 45,904.20/x
  3. Step 3: Cross multiply
    78,175.80x = 107,882.76 × 45,904.20
  4. Step 4: Simplify right side
    78,175.80x = 4,952,271,791.59
  5. Step 5: Solve for x
    x = 4,952,271,791.59/78,175.80
  6. Step 6: Final answer
    x = 63,347.89

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1.5x scale

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.