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Finding the Fourth Proportional to 70,392, 97,141.38 and 38,561.16

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Solution

The fourth proportional to 70,392, 97,141.38 and 38,561.16 is: 53,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,392 : 97,141.38 = 38,561.16 : x
  2. Step 2: Convert to fraction form
    70,392/97,141.38 = 38,561.16/x
  3. Step 3: Cross multiply
    70,392x = 97,141.38 × 38,561.16
  4. Step 4: Simplify right side
    70,392x = 3,745,884,296.80
  5. Step 5: Solve for x
    x = 3,745,884,296.80/70,392
  6. Step 6: Final answer
    x = 53,214.63

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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.