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Finding the Fourth Proportional to 97,999.60, 147,085.80 and 84,002.80

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Solution

The fourth proportional to 97,999.60, 147,085.80 and 84,002.80 is: 126,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,999.60 : 147,085.80 = 84,002.80 : x
  2. Step 2: Convert to fraction form
    97,999.60/147,085.80 = 84,002.80/x
  3. Step 3: Cross multiply
    97,999.60x = 147,085.80 × 84,002.80
  4. Step 4: Simplify right side
    97,999.60x = 12,355,619,040.24
  5. Step 5: Solve for x
    x = 12,355,619,040.24/97,999.60
  6. Step 6: Final answer
    x = 126,078.26

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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.