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Finding the Fourth Proportional to 210,119.96, 315,034.13 and 76,981.88

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Solution

The fourth proportional to 210,119.96, 315,034.13 and 76,981.88 is: 115,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,119.96 : 315,034.13 = 76,981.88 : x
  2. Step 2: Convert to fraction form
    210,119.96/315,034.13 = 76,981.88/x
  3. Step 3: Cross multiply
    210,119.96x = 315,034.13 × 76,981.88
  4. Step 4: Simplify right side
    210,119.96x = 24,251,917,631.48
  5. Step 5: Solve for x
    x = 24,251,917,631.48/210,119.96
  6. Step 6: Final answer
    x = 115,419.39

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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.