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Finding the Fourth Proportional to 106,145.52, 146,381.40 and 65,865.84

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Solution

The fourth proportional to 106,145.52, 146,381.40 and 65,865.84 is: 90,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,145.52 : 146,381.40 = 65,865.84 : x
  2. Step 2: Convert to fraction form
    106,145.52/146,381.40 = 65,865.84/x
  3. Step 3: Cross multiply
    106,145.52x = 146,381.40 × 65,865.84
  4. Step 4: Simplify right side
    106,145.52x = 9,641,533,871.38
  5. Step 5: Solve for x
    x = 9,641,533,871.38/106,145.52
  6. Step 6: Final answer
    x = 90,833.17

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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.