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Finding the Fourth Proportional to 125,364, 172,996.56 and 75,090.72

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Solution

The fourth proportional to 125,364, 172,996.56 and 75,090.72 is: 103,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,364 : 172,996.56 = 75,090.72 : x
  2. Step 2: Convert to fraction form
    125,364/172,996.56 = 75,090.72/x
  3. Step 3: Cross multiply
    125,364x = 172,996.56 × 75,090.72
  4. Step 4: Simplify right side
    125,364x = 12,990,436,247.92
  5. Step 5: Solve for x
    x = 12,990,436,247.92/125,364
  6. Step 6: Final answer
    x = 103,621.74

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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.