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Finding the Fourth Proportional to 70,605, 97,443.54 and 40,797

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Solution

The fourth proportional to 70,605, 97,443.54 and 40,797 is: 56,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,605 : 97,443.54 = 40,797 : x
  2. Step 2: Convert to fraction form
    70,605/97,443.54 = 40,797/x
  3. Step 3: Cross multiply
    70,605x = 97,443.54 × 40,797
  4. Step 4: Simplify right side
    70,605x = 3,975,404,101.38
  5. Step 5: Solve for x
    x = 3,975,404,101.38/70,605
  6. Step 6: Final answer
    x = 56,304.85

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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.