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Finding the Fourth Proportional to 153,320.65, 229,964.80 and 41,012.20

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Solution

The fourth proportional to 153,320.65, 229,964.80 and 41,012.20 is: 61,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,320.65 : 229,964.80 = 41,012.20 : x
  2. Step 2: Convert to fraction form
    153,320.65/229,964.80 = 41,012.20/x
  3. Step 3: Cross multiply
    153,320.65x = 229,964.80 × 41,012.20
  4. Step 4: Simplify right side
    153,320.65x = 9,431,362,555.49
  5. Step 5: Solve for x
    x = 9,431,362,555.49/153,320.65
  6. Step 6: Final answer
    x = 61,513.97

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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.