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Finding the Fourth Proportional to 105,270, 145,272.60 and 60,558

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Solution

The fourth proportional to 105,270, 145,272.60 and 60,558 is: 83,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,270 : 145,272.60 = 60,558 : x
  2. Step 2: Convert to fraction form
    105,270/145,272.60 = 60,558/x
  3. Step 3: Cross multiply
    105,270x = 145,272.60 × 60,558
  4. Step 4: Simplify right side
    105,270x = 8,797,418,110.80
  5. Step 5: Solve for x
    x = 8,797,418,110.80/105,270
  6. Step 6: Final answer
    x = 83,570.04

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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.