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Finding the Fourth Proportional to 125,276, 172,971.60 and 80,641.76

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Solution

The fourth proportional to 125,276, 172,971.60 and 80,641.76 is: 111,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,276 : 172,971.60 = 80,641.76 : x
  2. Step 2: Convert to fraction form
    125,276/172,971.60 = 80,641.76/x
  3. Step 3: Cross multiply
    125,276x = 172,971.60 × 80,641.76
  4. Step 4: Simplify right side
    125,276x = 13,948,734,254.02
  5. Step 5: Solve for x
    x = 13,948,734,254.02/125,276
  6. Step 6: Final answer
    x = 111,344.03

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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.