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Finding the Fourth Proportional to 209,950.65, 314,924.54 and 52,178.85

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Solution

The fourth proportional to 209,950.65, 314,924.54 and 52,178.85 is: 78,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,950.65 : 314,924.54 = 52,178.85 : x
  2. Step 2: Convert to fraction form
    209,950.65/314,924.54 = 52,178.85/x
  3. Step 3: Cross multiply
    209,950.65x = 314,924.54 × 52,178.85
  4. Step 4: Simplify right side
    209,950.65x = 16,432,400,073.08
  5. Step 5: Solve for x
    x = 16,432,400,073.08/209,950.65
  6. Step 6: Final answer
    x = 78,267.92

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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.