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Finding the Fourth Proportional to 105,652.75, 145,807.66 and 57,906.06

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Solution

The fourth proportional to 105,652.75, 145,807.66 and 57,906.06 is: 79,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652.75 : 145,807.66 = 57,906.06 : x
  2. Step 2: Convert to fraction form
    105,652.75/145,807.66 = 57,906.06/x
  3. Step 3: Cross multiply
    105,652.75x = 145,807.66 × 57,906.06
  4. Step 4: Simplify right side
    105,652.75x = 8,443,146,963.65
  5. Step 5: Solve for x
    x = 8,443,146,963.65/105,652.75
  6. Step 6: Final answer
    x = 79,914.12

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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.