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Finding the Fourth Proportional to 72,988.29, 100,724.40 and 42,774.48

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Solution

The fourth proportional to 72,988.29, 100,724.40 and 42,774.48 is: 59,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,988.29 : 100,724.40 = 42,774.48 : x
  2. Step 2: Convert to fraction form
    72,988.29/100,724.40 = 42,774.48/x
  3. Step 3: Cross multiply
    72,988.29x = 100,724.40 × 42,774.48
  4. Step 4: Simplify right side
    72,988.29x = 4,308,433,833.31
  5. Step 5: Solve for x
    x = 4,308,433,833.31/72,988.29
  6. Step 6: Final answer
    x = 59,029.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.