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Finding the Fourth Proportional to 213,800.61, 320,649.08 and 89,073.57

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Solution

The fourth proportional to 213,800.61, 320,649.08 and 89,073.57 is: 133,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,800.61 : 320,649.08 = 89,073.57 : x
  2. Step 2: Convert to fraction form
    213,800.61/320,649.08 = 89,073.57/x
  3. Step 3: Cross multiply
    213,800.61x = 320,649.08 × 89,073.57
  4. Step 4: Simplify right side
    213,800.61x = 28,561,357,827.45
  5. Step 5: Solve for x
    x = 28,561,357,827.45/213,800.61
  6. Step 6: Final answer
    x = 133,588.76

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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.