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Finding the Fourth Proportional to 97,758, 146,639.74 and 34,569.20

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Solution

The fourth proportional to 97,758, 146,639.74 and 34,569.20 is: 51,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,758 : 146,639.74 = 34,569.20 : x
  2. Step 2: Convert to fraction form
    97,758/146,639.74 = 34,569.20/x
  3. Step 3: Cross multiply
    97,758x = 146,639.74 × 34,569.20
  4. Step 4: Simplify right side
    97,758x = 5,069,218,500.01
  5. Step 5: Solve for x
    x = 5,069,218,500.01/97,758
  6. Step 6: Final answer
    x = 51,854.77

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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.