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Finding the Fourth Proportional to 89,128.71, 133,722.84 and 29,159.93

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Solution

The fourth proportional to 89,128.71, 133,722.84 and 29,159.93 is: 43,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,128.71 : 133,722.84 = 29,159.93 : x
  2. Step 2: Convert to fraction form
    89,128.71/133,722.84 = 29,159.93/x
  3. Step 3: Cross multiply
    89,128.71x = 133,722.84 × 29,159.93
  4. Step 4: Simplify right side
    89,128.71x = 3,899,348,653.80
  5. Step 5: Solve for x
    x = 3,899,348,653.80/89,128.71
  6. Step 6: Final answer
    x = 43,749.64

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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.