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Finding the Fourth Proportional to 213,978.60, 320,822.10 and 101,712.60

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Solution

The fourth proportional to 213,978.60, 320,822.10 and 101,712.60 is: 152,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,978.60 : 320,822.10 = 101,712.60 : x
  2. Step 2: Convert to fraction form
    213,978.60/320,822.10 = 101,712.60/x
  3. Step 3: Cross multiply
    213,978.60x = 320,822.10 × 101,712.60
  4. Step 4: Simplify right side
    213,978.60x = 32,631,649,928.46
  5. Step 5: Solve for x
    x = 32,631,649,928.46/213,978.60
  6. Step 6: Final answer
    x = 152,499.60

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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.