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Finding the Fourth Proportional to 106,693.20, 147,240.89 and 61,371.17

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Solution

The fourth proportional to 106,693.20, 147,240.89 and 61,371.17 is: 84,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,693.20 : 147,240.89 = 61,371.17 : x
  2. Step 2: Convert to fraction form
    106,693.20/147,240.89 = 61,371.17/x
  3. Step 3: Cross multiply
    106,693.20x = 147,240.89 × 61,371.17
  4. Step 4: Simplify right side
    106,693.20x = 9,036,345,430.38
  5. Step 5: Solve for x
    x = 9,036,345,430.38/106,693.20
  6. Step 6: Final answer
    x = 84,694.67

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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.