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Finding the Fourth Proportional to 152,508.80, 228,872.55 and 85,878.20

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Solution

The fourth proportional to 152,508.80, 228,872.55 and 85,878.20 is: 128,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,508.80 : 228,872.55 = 85,878.20 : x
  2. Step 2: Convert to fraction form
    152,508.80/228,872.55 = 85,878.20/x
  3. Step 3: Cross multiply
    152,508.80x = 228,872.55 × 85,878.20
  4. Step 4: Simplify right side
    152,508.80x = 19,655,162,623.41
  5. Step 5: Solve for x
    x = 19,655,162,623.41/152,508.80
  6. Step 6: Final answer
    x = 128,878.88

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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.