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Finding the Fourth Proportional to 72,712.40, 109,071.03 and 20,117.48

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Solution

The fourth proportional to 72,712.40, 109,071.03 and 20,117.48 is: 30,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712.40 : 109,071.03 = 20,117.48 : x
  2. Step 2: Convert to fraction form
    72,712.40/109,071.03 = 20,117.48/x
  3. Step 3: Cross multiply
    72,712.40x = 109,071.03 × 20,117.48
  4. Step 4: Simplify right side
    72,712.40x = 2,194,233,719.25
  5. Step 5: Solve for x
    x = 2,194,233,719.25/72,712.40
  6. Step 6: Final answer
    x = 30,176.89

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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.