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Finding the Fourth Proportional to 210,170.65, 314,909.70 and 121,269.10

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Solution

The fourth proportional to 210,170.65, 314,909.70 and 121,269.10 is: 181,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,170.65 : 314,909.70 = 121,269.10 : x
  2. Step 2: Convert to fraction form
    210,170.65/314,909.70 = 121,269.10/x
  3. Step 3: Cross multiply
    210,170.65x = 314,909.70 × 121,269.10
  4. Step 4: Simplify right side
    210,170.65x = 38,188,815,900.27
  5. Step 5: Solve for x
    x = 38,188,815,900.27/210,170.65
  6. Step 6: Final answer
    x = 181,703.85

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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.