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Finding the Fourth Proportional to 97,409.79, 146,081.88 and 78,645.33

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Solution

The fourth proportional to 97,409.79, 146,081.88 and 78,645.33 is: 117,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,409.79 : 146,081.88 = 78,645.33 : x
  2. Step 2: Convert to fraction form
    97,409.79/146,081.88 = 78,645.33/x
  3. Step 3: Cross multiply
    97,409.79x = 146,081.88 × 78,645.33
  4. Step 4: Simplify right side
    97,409.79x = 11,488,657,659.62
  5. Step 5: Solve for x
    x = 11,488,657,659.62/97,409.79
  6. Step 6: Final answer
    x = 117,941.51

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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.