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Finding the Fourth Proportional to 137,602.10, 206,597.55 and 85,114.10

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Solution

The fourth proportional to 137,602.10, 206,597.55 and 85,114.10 is: 127,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,602.10 : 206,597.55 = 85,114.10 : x
  2. Step 2: Convert to fraction form
    137,602.10/206,597.55 = 85,114.10/x
  3. Step 3: Cross multiply
    137,602.10x = 206,597.55 × 85,114.10
  4. Step 4: Simplify right side
    137,602.10x = 17,584,364,530.46
  5. Step 5: Solve for x
    x = 17,584,364,530.46/137,602.10
  6. Step 6: Final answer
    x = 127,791.40

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1.5x scale

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.