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Finding the Fourth Proportional to 191,016.49, 286,534.26 and 72,697

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Solution

The fourth proportional to 191,016.49, 286,534.26 and 72,697 is: 109,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,016.49 : 286,534.26 = 72,697 : x
  2. Step 2: Convert to fraction form
    191,016.49/286,534.26 = 72,697/x
  3. Step 3: Cross multiply
    191,016.49x = 286,534.26 × 72,697
  4. Step 4: Simplify right side
    191,016.49x = 20,830,180,735.74
  5. Step 5: Solve for x
    x = 20,830,180,735.74/191,016.49
  6. Step 6: Final answer
    x = 109,049.12

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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.