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Finding the Fourth Proportional to 153,449.70, 229,526.55 and 137,768.10

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Solution

The fourth proportional to 153,449.70, 229,526.55 and 137,768.10 is: 206,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,449.70 : 229,526.55 = 137,768.10 : x
  2. Step 2: Convert to fraction form
    153,449.70/229,526.55 = 137,768.10/x
  3. Step 3: Cross multiply
    153,449.70x = 229,526.55 × 137,768.10
  4. Step 4: Simplify right side
    153,449.70x = 31,621,436,693.06
  5. Step 5: Solve for x
    x = 31,621,436,693.06/153,449.70
  6. Step 6: Final answer
    x = 206,070.37

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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.