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Finding the Fourth Proportional to 213,876.16, 320,749.44 and 89,188

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Solution

The fourth proportional to 213,876.16, 320,749.44 and 89,188 is: 133,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,876.16 : 320,749.44 = 89,188 : x
  2. Step 2: Convert to fraction form
    213,876.16/320,749.44 = 89,188/x
  3. Step 3: Cross multiply
    213,876.16x = 320,749.44 × 89,188
  4. Step 4: Simplify right side
    213,876.16x = 28,607,001,054.72
  5. Step 5: Solve for x
    x = 28,607,001,054.72/213,876.16
  6. Step 6: Final answer
    x = 133,754.98

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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.