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Finding the Fourth Proportional to 174,248, 261,373.28 and 42,920

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Solution

The fourth proportional to 174,248, 261,373.28 and 42,920 is: 64,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,248 : 261,373.28 = 42,920 : x
  2. Step 2: Convert to fraction form
    174,248/261,373.28 = 42,920/x
  3. Step 3: Cross multiply
    174,248x = 261,373.28 × 42,920
  4. Step 4: Simplify right side
    174,248x = 11,218,141,177.60
  5. Step 5: Solve for x
    x = 11,218,141,177.60/174,248
  6. Step 6: Final answer
    x = 64,380.32

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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.