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Finding the Fourth Proportional to 99,703.56, 149,363.40 and 78,531.60

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Solution

The fourth proportional to 99,703.56, 149,363.40 and 78,531.60 is: 117,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,703.56 : 149,363.40 = 78,531.60 : x
  2. Step 2: Convert to fraction form
    99,703.56/149,363.40 = 78,531.60/x
  3. Step 3: Cross multiply
    99,703.56x = 149,363.40 × 78,531.60
  4. Step 4: Simplify right side
    99,703.56x = 11,729,746,783.44
  5. Step 5: Solve for x
    x = 11,729,746,783.44/99,703.56
  6. Step 6: Final answer
    x = 117,646.22

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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.