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Finding the Fourth Proportional to 60,206.31, 90,305.82 and 18,653.31

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Solution

The fourth proportional to 60,206.31, 90,305.82 and 18,653.31 is: 27,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,206.31 : 90,305.82 = 18,653.31 : x
  2. Step 2: Convert to fraction form
    60,206.31/90,305.82 = 18,653.31/x
  3. Step 3: Cross multiply
    60,206.31x = 90,305.82 × 18,653.31
  4. Step 4: Simplify right side
    60,206.31x = 1,684,502,455.26
  5. Step 5: Solve for x
    x = 1,684,502,455.26/60,206.31
  6. Step 6: Final answer
    x = 27,978.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.