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Finding the Fourth Proportional to 70,632, 97,480.80 and 40,824

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Solution

The fourth proportional to 70,632, 97,480.80 and 40,824 is: 56,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,632 : 97,480.80 = 40,824 : x
  2. Step 2: Convert to fraction form
    70,632/97,480.80 = 40,824/x
  3. Step 3: Cross multiply
    70,632x = 97,480.80 × 40,824
  4. Step 4: Simplify right side
    70,632x = 3,979,556,179.20
  5. Step 5: Solve for x
    x = 3,979,556,179.20/70,632
  6. Step 6: Final answer
    x = 56,342.11

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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.