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Finding the Fourth Proportional to 151,199.30, 208,641.48 and 87,541.40

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Solution

The fourth proportional to 151,199.30, 208,641.48 and 87,541.40 is: 120,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,199.30 : 208,641.48 = 87,541.40 : x
  2. Step 2: Convert to fraction form
    151,199.30/208,641.48 = 87,541.40/x
  3. Step 3: Cross multiply
    151,199.30x = 208,641.48 × 87,541.40
  4. Step 4: Simplify right side
    151,199.30x = 18,264,767,257.27
  5. Step 5: Solve for x
    x = 18,264,767,257.27/151,199.30
  6. Step 6: Final answer
    x = 120,799.28

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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.