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Finding the Fourth Proportional to 207,718.90, 311,630.88 and 57,959.12

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Solution

The fourth proportional to 207,718.90, 311,630.88 and 57,959.12 is: 86,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,718.90 : 311,630.88 = 57,959.12 : x
  2. Step 2: Convert to fraction form
    207,718.90/311,630.88 = 57,959.12/x
  3. Step 3: Cross multiply
    207,718.90x = 311,630.88 × 57,959.12
  4. Step 4: Simplify right side
    207,718.90x = 18,061,851,569.63
  5. Step 5: Solve for x
    x = 18,061,851,569.63/207,718.90
  6. Step 6: Final answer
    x = 86,953.34

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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.