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Finding the Fourth Proportional to 153,756.90, 230,635.35 and 133,020.90

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Solution

The fourth proportional to 153,756.90, 230,635.35 and 133,020.90 is: 199,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,756.90 : 230,635.35 = 133,020.90 : x
  2. Step 2: Convert to fraction form
    153,756.90/230,635.35 = 133,020.90/x
  3. Step 3: Cross multiply
    153,756.90x = 230,635.35 × 133,020.90
  4. Step 4: Simplify right side
    153,756.90x = 30,679,321,828.82
  5. Step 5: Solve for x
    x = 30,679,321,828.82/153,756.90
  6. Step 6: Final answer
    x = 199,531.35

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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.