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Finding the Fourth Proportional to 78,419.16, 108,218.88 and 42,609.47

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Solution

The fourth proportional to 78,419.16, 108,218.88 and 42,609.47 is: 58,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.16 : 108,218.88 = 42,609.47 : x
  2. Step 2: Convert to fraction form
    78,419.16/108,218.88 = 42,609.47/x
  3. Step 3: Cross multiply
    78,419.16x = 108,218.88 × 42,609.47
  4. Step 4: Simplify right side
    78,419.16x = 4,611,148,579.70
  5. Step 5: Solve for x
    x = 4,611,148,579.70/78,419.16
  6. Step 6: Final answer
    x = 58,801.30

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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.