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Finding the Fourth Proportional to 83,247, 114,881.34 and 53,439

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Solution

The fourth proportional to 83,247, 114,881.34 and 53,439 is: 73,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,247 : 114,881.34 = 53,439 : x
  2. Step 2: Convert to fraction form
    83,247/114,881.34 = 53,439/x
  3. Step 3: Cross multiply
    83,247x = 114,881.34 × 53,439
  4. Step 4: Simplify right side
    83,247x = 6,139,143,928.26
  5. Step 5: Solve for x
    x = 6,139,143,928.26/83,247
  6. Step 6: Final answer
    x = 73,746.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.