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Finding the Fourth Proportional to 146,045.40, 201,542.52 and 78,977.40

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Solution

The fourth proportional to 146,045.40, 201,542.52 and 78,977.40 is: 108,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,045.40 : 201,542.52 = 78,977.40 : x
  2. Step 2: Convert to fraction form
    146,045.40/201,542.52 = 78,977.40/x
  3. Step 3: Cross multiply
    146,045.40x = 201,542.52 × 78,977.40
  4. Step 4: Simplify right side
    146,045.40x = 15,917,304,219.05
  5. Step 5: Solve for x
    x = 15,917,304,219.05/146,045.40
  6. Step 6: Final answer
    x = 108,988.74

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1.5x scale

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.