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Finding the Fourth Proportional to 97,740.80, 146,902.80 and 84,910.40

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Solution

The fourth proportional to 97,740.80, 146,902.80 and 84,910.40 is: 127,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,740.80 : 146,902.80 = 84,910.40 : x
  2. Step 2: Convert to fraction form
    97,740.80/146,902.80 = 84,910.40/x
  3. Step 3: Cross multiply
    97,740.80x = 146,902.80 × 84,910.40
  4. Step 4: Simplify right side
    97,740.80x = 12,473,575,509.12
  5. Step 5: Solve for x
    x = 12,473,575,509.12/97,740.80
  6. Step 6: Final answer
    x = 127,618.92

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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.