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Finding the Fourth Proportional to 70,728.11, 97,602.83 and 38,897

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Solution

The fourth proportional to 70,728.11, 97,602.83 and 38,897 is: 53,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,728.11 : 97,602.83 = 38,897 : x
  2. Step 2: Convert to fraction form
    70,728.11/97,602.83 = 38,897/x
  3. Step 3: Cross multiply
    70,728.11x = 97,602.83 × 38,897
  4. Step 4: Simplify right side
    70,728.11x = 3,796,457,278.51
  5. Step 5: Solve for x
    x = 3,796,457,278.51/70,728.11
  6. Step 6: Final answer
    x = 53,676.78

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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.