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Finding the Fourth Proportional to 97,750.66, 146,614.47 and 76,980.10

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Solution

The fourth proportional to 97,750.66, 146,614.47 and 76,980.10 is: 115,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,750.66 : 146,614.47 = 76,980.10 : x
  2. Step 2: Convert to fraction form
    97,750.66/146,614.47 = 76,980.10/x
  3. Step 3: Cross multiply
    97,750.66x = 146,614.47 × 76,980.10
  4. Step 4: Simplify right side
    97,750.66x = 11,286,396,562.05
  5. Step 5: Solve for x
    x = 11,286,396,562.05/97,750.66
  6. Step 6: Final answer
    x = 115,461.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.