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Finding the Fourth Proportional to 153,710.80, 230,499.23 and 81,647.94

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Solution

The fourth proportional to 153,710.80, 230,499.23 and 81,647.94 is: 122,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,710.80 : 230,499.23 = 81,647.94 : x
  2. Step 2: Convert to fraction form
    153,710.80/230,499.23 = 81,647.94/x
  3. Step 3: Cross multiply
    153,710.80x = 230,499.23 × 81,647.94
  4. Step 4: Simplify right side
    153,710.80x = 18,819,787,505.21
  5. Step 5: Solve for x
    x = 18,819,787,505.21/153,710.80
  6. Step 6: Final answer
    x = 122,436.34

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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.