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Finding the Fourth Proportional to 70,891.12, 97,831.95 and 40,681.97

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Solution

The fourth proportional to 70,891.12, 97,831.95 and 40,681.97 is: 56,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,891.12 : 97,831.95 = 40,681.97 : x
  2. Step 2: Convert to fraction form
    70,891.12/97,831.95 = 40,681.97/x
  3. Step 3: Cross multiply
    70,891.12x = 97,831.95 × 40,681.97
  4. Step 4: Simplify right side
    70,891.12x = 3,979,996,064.99
  5. Step 5: Solve for x
    x = 3,979,996,064.99/70,891.12
  6. Step 6: Final answer
    x = 56,142.38

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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.