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Finding the Fourth Proportional to 70,781.80, 97,661.22 and 45,601

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Solution

The fourth proportional to 70,781.80, 97,661.22 and 45,601 is: 62,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,781.80 : 97,661.22 = 45,601 : x
  2. Step 2: Convert to fraction form
    70,781.80/97,661.22 = 45,601/x
  3. Step 3: Cross multiply
    70,781.80x = 97,661.22 × 45,601
  4. Step 4: Simplify right side
    70,781.80x = 4,453,449,293.22
  5. Step 5: Solve for x
    x = 4,453,449,293.22/70,781.80
  6. Step 6: Final answer
    x = 62,918.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.