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Finding the Fourth Proportional to 153,878.21, 230,842.84 and 54,012.50

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Solution

The fourth proportional to 153,878.21, 230,842.84 and 54,012.50 is: 81,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,878.21 : 230,842.84 = 54,012.50 : x
  2. Step 2: Convert to fraction form
    153,878.21/230,842.84 = 54,012.50/x
  3. Step 3: Cross multiply
    153,878.21x = 230,842.84 × 54,012.50
  4. Step 4: Simplify right side
    153,878.21x = 12,468,399,337.58
  5. Step 5: Solve for x
    x = 12,468,399,337.58/153,878.21
  6. Step 6: Final answer
    x = 81,027.71

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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.