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Finding the Fourth Proportional to 106,486.64, 146,951.72 and 61,173.40

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Solution

The fourth proportional to 106,486.64, 146,951.72 and 61,173.40 is: 84,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,486.64 : 146,951.72 = 61,173.40 : x
  2. Step 2: Convert to fraction form
    106,486.64/146,951.72 = 61,173.40/x
  3. Step 3: Cross multiply
    106,486.64x = 146,951.72 × 61,173.40
  4. Step 4: Simplify right side
    106,486.64x = 8,989,536,348.25
  5. Step 5: Solve for x
    x = 8,989,536,348.25/106,486.64
  6. Step 6: Final answer
    x = 84,419.38

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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.