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Finding the Fourth Proportional to 113,216.78, 169,664.24 and 83,400.14

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Solution

The fourth proportional to 113,216.78, 169,664.24 and 83,400.14 is: 124,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,216.78 : 169,664.24 = 83,400.14 : x
  2. Step 2: Convert to fraction form
    113,216.78/169,664.24 = 83,400.14/x
  3. Step 3: Cross multiply
    113,216.78x = 169,664.24 × 83,400.14
  4. Step 4: Simplify right side
    113,216.78x = 14,150,021,368.99
  5. Step 5: Solve for x
    x = 14,150,021,368.99/113,216.78
  6. Step 6: Final answer
    x = 124,981.66

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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.