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Finding the Fourth Proportional to 207,186.77, 310,780.16 and 137,049.68

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Solution

The fourth proportional to 207,186.77, 310,780.16 and 137,049.68 is: 205,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,186.77 : 310,780.16 = 137,049.68 : x
  2. Step 2: Convert to fraction form
    207,186.77/310,780.16 = 137,049.68/x
  3. Step 3: Cross multiply
    207,186.77x = 310,780.16 × 137,049.68
  4. Step 4: Simplify right side
    207,186.77x = 42,592,321,478.35
  5. Step 5: Solve for x
    x = 42,592,321,478.35/207,186.77
  6. Step 6: Final answer
    x = 205,574.52

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1.5x scale

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.