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Finding the Fourth Proportional to 138,911.88, 191,697.97 and 78,482.50

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Solution

The fourth proportional to 138,911.88, 191,697.97 and 78,482.50 is: 108,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.88 : 191,697.97 = 78,482.50 : x
  2. Step 2: Convert to fraction form
    138,911.88/191,697.97 = 78,482.50/x
  3. Step 3: Cross multiply
    138,911.88x = 191,697.97 × 78,482.50
  4. Step 4: Simplify right side
    138,911.88x = 15,044,934,579.62
  5. Step 5: Solve for x
    x = 15,044,934,579.62/138,911.88
  6. Step 6: Final answer
    x = 108,305.60

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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.