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Finding the Fourth Proportional to 109,472.53, 151,141.04 and 83,931.53

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Solution

The fourth proportional to 109,472.53, 151,141.04 and 83,931.53 is: 115,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,472.53 : 151,141.04 = 83,931.53 : x
  2. Step 2: Convert to fraction form
    109,472.53/151,141.04 = 83,931.53/x
  3. Step 3: Cross multiply
    109,472.53x = 151,141.04 × 83,931.53
  4. Step 4: Simplify right side
    109,472.53x = 12,685,498,313.33
  5. Step 5: Solve for x
    x = 12,685,498,313.33/109,472.53
  6. Step 6: Final answer
    x = 115,878.38

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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.