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Finding the Fourth Proportional to 81,530.64, 122,238.65 and 35,916.71

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Solution

The fourth proportional to 81,530.64, 122,238.65 and 35,916.71 is: 53,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,530.64 : 122,238.65 = 35,916.71 : x
  2. Step 2: Convert to fraction form
    81,530.64/122,238.65 = 35,916.71/x
  3. Step 3: Cross multiply
    81,530.64x = 122,238.65 × 35,916.71
  4. Step 4: Simplify right side
    81,530.64x = 4,390,409,352.06
  5. Step 5: Solve for x
    x = 4,390,409,352.06/81,530.64
  6. Step 6: Final answer
    x = 53,849.81

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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.