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Finding the Fourth Proportional to 78,808.14, 108,654.18 and 57,280.20

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Solution

The fourth proportional to 78,808.14, 108,654.18 and 57,280.20 is: 78,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,808.14 : 108,654.18 = 57,280.20 : x
  2. Step 2: Convert to fraction form
    78,808.14/108,654.18 = 57,280.20/x
  3. Step 3: Cross multiply
    78,808.14x = 108,654.18 × 57,280.20
  4. Step 4: Simplify right side
    78,808.14x = 6,223,733,161.24
  5. Step 5: Solve for x
    x = 6,223,733,161.24/78,808.14
  6. Step 6: Final answer
    x = 78,973.23

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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.