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Finding the Fourth Proportional to 47,978.61, 66,189.08 and 27,823.82

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Solution

The fourth proportional to 47,978.61, 66,189.08 and 27,823.82 is: 38,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.61 : 66,189.08 = 27,823.82 : x
  2. Step 2: Convert to fraction form
    47,978.61/66,189.08 = 27,823.82/x
  3. Step 3: Cross multiply
    47,978.61x = 66,189.08 × 27,823.82
  4. Step 4: Simplify right side
    47,978.61x = 1,841,633,047.89
  5. Step 5: Solve for x
    x = 1,841,633,047.89/47,978.61
  6. Step 6: Final answer
    x = 38,384.46

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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.