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Finding the Fourth Proportional to 125,283, 172,981.26 and 80,648.76

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Solution

The fourth proportional to 125,283, 172,981.26 and 80,648.76 is: 111,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,283 : 172,981.26 = 80,648.76 : x
  2. Step 2: Convert to fraction form
    125,283/172,981.26 = 80,648.76/x
  3. Step 3: Cross multiply
    125,283x = 172,981.26 × 80,648.76
  4. Step 4: Simplify right side
    125,283x = 13,950,724,122.24
  5. Step 5: Solve for x
    x = 13,950,724,122.24/125,283
  6. Step 6: Final answer
    x = 111,353.69

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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.