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Finding the Fourth Proportional to 210,470.56, 315,671.76 and 77,318.08

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Solution

The fourth proportional to 210,470.56, 315,671.76 and 77,318.08 is: 115,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,470.56 : 315,671.76 = 77,318.08 : x
  2. Step 2: Convert to fraction form
    210,470.56/315,671.76 = 77,318.08/x
  3. Step 3: Cross multiply
    210,470.56x = 315,671.76 × 77,318.08
  4. Step 4: Simplify right side
    210,470.56x = 24,407,134,393.42
  5. Step 5: Solve for x
    x = 24,407,134,393.42/210,470.56
  6. Step 6: Final answer
    x = 115,964.60

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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.