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Finding the Fourth Proportional to 70,608, 97,447.68 and 40,800

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Solution

The fourth proportional to 70,608, 97,447.68 and 40,800 is: 56,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,608 : 97,447.68 = 40,800 : x
  2. Step 2: Convert to fraction form
    70,608/97,447.68 = 40,800/x
  3. Step 3: Cross multiply
    70,608x = 97,447.68 × 40,800
  4. Step 4: Simplify right side
    70,608x = 3,975,865,344.00
  5. Step 5: Solve for x
    x = 3,975,865,344.00/70,608
  6. Step 6: Final answer
    x = 56,308.99

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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.