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Finding the Fourth Proportional to 152,785.80, 229,123.78 and 52,919.12

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Solution

The fourth proportional to 152,785.80, 229,123.78 and 52,919.12 is: 79,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,785.80 : 229,123.78 = 52,919.12 : x
  2. Step 2: Convert to fraction form
    152,785.80/229,123.78 = 52,919.12/x
  3. Step 3: Cross multiply
    152,785.80x = 229,123.78 × 52,919.12
  4. Step 4: Simplify right side
    152,785.80x = 12,125,028,808.67
  5. Step 5: Solve for x
    x = 12,125,028,808.67/152,785.80
  6. Step 6: Final answer
    x = 79,359.66

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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.