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Finding the Fourth Proportional to 99,998.60, 149,609.10 and 65,006.60

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Solution

The fourth proportional to 99,998.60, 149,609.10 and 65,006.60 is: 97,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,998.60 : 149,609.10 = 65,006.60 : x
  2. Step 2: Convert to fraction form
    99,998.60/149,609.10 = 65,006.60/x
  3. Step 3: Cross multiply
    99,998.60x = 149,609.10 × 65,006.60
  4. Step 4: Simplify right side
    99,998.60x = 9,725,578,920.06
  5. Step 5: Solve for x
    x = 9,725,578,920.06/99,998.60
  6. Step 6: Final answer
    x = 97,257.15

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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.