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Finding the Fourth Proportional to 105,871, 146,114.96 and 61,159

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Solution

The fourth proportional to 105,871, 146,114.96 and 61,159 is: 84,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,871 : 146,114.96 = 61,159 : x
  2. Step 2: Convert to fraction form
    105,871/146,114.96 = 61,159/x
  3. Step 3: Cross multiply
    105,871x = 146,114.96 × 61,159
  4. Step 4: Simplify right side
    105,871x = 8,936,244,838.64
  5. Step 5: Solve for x
    x = 8,936,244,838.64/105,871
  6. Step 6: Final answer
    x = 84,406.92

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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.