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Finding the Fourth Proportional to 70,802.28, 97,691.46 and 40,977

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Solution

The fourth proportional to 70,802.28, 97,691.46 and 40,977 is: 56,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.28 : 97,691.46 = 40,977 : x
  2. Step 2: Convert to fraction form
    70,802.28/97,691.46 = 40,977/x
  3. Step 3: Cross multiply
    70,802.28x = 97,691.46 × 40,977
  4. Step 4: Simplify right side
    70,802.28x = 4,003,102,956.42
  5. Step 5: Solve for x
    x = 4,003,102,956.42/70,802.28
  6. Step 6: Final answer
    x = 56,539.18

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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.