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Finding the Fourth Proportional to 105,915.66, 146,164.62 and 58,170

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Solution

The fourth proportional to 105,915.66, 146,164.62 and 58,170 is: 80,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,915.66 : 146,164.62 = 58,170 : x
  2. Step 2: Convert to fraction form
    105,915.66/146,164.62 = 58,170/x
  3. Step 3: Cross multiply
    105,915.66x = 146,164.62 × 58,170
  4. Step 4: Simplify right side
    105,915.66x = 8,502,395,945.40
  5. Step 5: Solve for x
    x = 8,502,395,945.40/105,915.66
  6. Step 6: Final answer
    x = 80,275.15

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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.