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Finding the Fourth Proportional to 146,040.40, 201,535.76 and 78,972.40

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Solution

The fourth proportional to 146,040.40, 201,535.76 and 78,972.40 is: 108,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,040.40 : 201,535.76 = 78,972.40 : x
  2. Step 2: Convert to fraction form
    146,040.40/201,535.76 = 78,972.40/x
  3. Step 3: Cross multiply
    146,040.40x = 201,535.76 × 78,972.40
  4. Step 4: Simplify right side
    146,040.40x = 15,915,762,653.02
  5. Step 5: Solve for x
    x = 15,915,762,653.02/146,040.40
  6. Step 6: Final answer
    x = 108,981.92

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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.