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Finding the Fourth Proportional to 191,729.80, 287,724.30 and 107,489.80

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Solution

The fourth proportional to 191,729.80, 287,724.30 and 107,489.80 is: 161,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,729.80 : 287,724.30 = 107,489.80 : x
  2. Step 2: Convert to fraction form
    191,729.80/287,724.30 = 107,489.80/x
  3. Step 3: Cross multiply
    191,729.80x = 287,724.30 × 107,489.80
  4. Step 4: Simplify right side
    191,729.80x = 30,927,427,462.14
  5. Step 5: Solve for x
    x = 30,927,427,462.14/191,729.80
  6. Step 6: Final answer
    x = 161,307.36

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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.