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Finding the Fourth Proportional to 127,271.60, 191,101.80 and 97,722.80

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Solution

The fourth proportional to 127,271.60, 191,101.80 and 97,722.80 is: 146,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,271.60 : 191,101.80 = 97,722.80 : x
  2. Step 2: Convert to fraction form
    127,271.60/191,101.80 = 97,722.80/x
  3. Step 3: Cross multiply
    127,271.60x = 191,101.80 × 97,722.80
  4. Step 4: Simplify right side
    127,271.60x = 18,675,002,981.04
  5. Step 5: Solve for x
    x = 18,675,002,981.04/127,271.60
  6. Step 6: Final answer
    x = 146,733.47

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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.