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Finding the Fourth Proportional to 119,577.65, 179,376.80 and 30,830.40

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Solution

The fourth proportional to 119,577.65, 179,376.80 and 30,830.40 is: 46,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,577.65 : 179,376.80 = 30,830.40 : x
  2. Step 2: Convert to fraction form
    119,577.65/179,376.80 = 30,830.40/x
  3. Step 3: Cross multiply
    119,577.65x = 179,376.80 × 30,830.40
  4. Step 4: Simplify right side
    119,577.65x = 5,530,258,340.57
  5. Step 5: Solve for x
    x = 5,530,258,340.57/119,577.65
  6. Step 6: Final answer
    x = 46,248.26

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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.