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Finding the Fourth Proportional to 291,678.71, 437,542.77 and 81,316.85

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Solution

The fourth proportional to 291,678.71, 437,542.77 and 81,316.85 is: 121,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,678.71 : 437,542.77 = 81,316.85 : x
  2. Step 2: Convert to fraction form
    291,678.71/437,542.77 = 81,316.85/x
  3. Step 3: Cross multiply
    291,678.71x = 437,542.77 × 81,316.85
  4. Step 4: Simplify right side
    291,678.71x = 35,579,599,796.67
  5. Step 5: Solve for x
    x = 35,579,599,796.67/291,678.71
  6. Step 6: Final answer
    x = 121,982.16

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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.