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Finding the Fourth Proportional to 103,659, 142,861.80 and 77,991

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Solution

The fourth proportional to 103,659, 142,861.80 and 77,991 is: 107,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659 : 142,861.80 = 77,991 : x
  2. Step 2: Convert to fraction form
    103,659/142,861.80 = 77,991/x
  3. Step 3: Cross multiply
    103,659x = 142,861.80 × 77,991
  4. Step 4: Simplify right side
    103,659x = 11,141,934,643.80
  5. Step 5: Solve for x
    x = 11,141,934,643.80/103,659
  6. Step 6: Final answer
    x = 107,486.42

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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.