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Finding the Fourth Proportional to 207,833.80, 311,750.70 and 74,718.40

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Solution

The fourth proportional to 207,833.80, 311,750.70 and 74,718.40 is: 112,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,833.80 : 311,750.70 = 74,718.40 : x
  2. Step 2: Convert to fraction form
    207,833.80/311,750.70 = 74,718.40/x
  3. Step 3: Cross multiply
    207,833.80x = 311,750.70 × 74,718.40
  4. Step 4: Simplify right side
    207,833.80x = 23,293,513,502.88
  5. Step 5: Solve for x
    x = 23,293,513,502.88/207,833.80
  6. Step 6: Final answer
    x = 112,077.60

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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.