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Finding the Fourth Proportional to 105,967, 146,253.90 and 61,255

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Solution

The fourth proportional to 105,967, 146,253.90 and 61,255 is: 84,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,967 : 146,253.90 = 61,255 : x
  2. Step 2: Convert to fraction form
    105,967/146,253.90 = 61,255/x
  3. Step 3: Cross multiply
    105,967x = 146,253.90 × 61,255
  4. Step 4: Simplify right side
    105,967x = 8,958,782,644.50
  5. Step 5: Solve for x
    x = 8,958,782,644.50/105,967
  6. Step 6: Final answer
    x = 84,543.14

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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.