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Finding the Fourth Proportional to 84,396.84, 126,657.54 and 40,023.69

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Solution

The fourth proportional to 84,396.84, 126,657.54 and 40,023.69 is: 60,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,396.84 : 126,657.54 = 40,023.69 : x
  2. Step 2: Convert to fraction form
    84,396.84/126,657.54 = 40,023.69/x
  3. Step 3: Cross multiply
    84,396.84x = 126,657.54 × 40,023.69
  4. Step 4: Simplify right side
    84,396.84x = 5,069,302,117.12
  5. Step 5: Solve for x
    x = 5,069,302,117.12/84,396.84
  6. Step 6: Final answer
    x = 60,065.07

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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.