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Finding the Fourth Proportional to 207,966.80, 312,058.20 and 97,158.80

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Solution

The fourth proportional to 207,966.80, 312,058.20 and 97,158.80 is: 145,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,966.80 : 312,058.20 = 97,158.80 : x
  2. Step 2: Convert to fraction form
    207,966.80/312,058.20 = 97,158.80/x
  3. Step 3: Cross multiply
    207,966.80x = 312,058.20 × 97,158.80
  4. Step 4: Simplify right side
    207,966.80x = 30,319,200,242.16
  5. Step 5: Solve for x
    x = 30,319,200,242.16/207,966.80
  6. Step 6: Final answer
    x = 145,788.66

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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.