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Finding the Fourth Proportional to 51,978.20, 77,967.30 and 48,291.80

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Solution

The fourth proportional to 51,978.20, 77,967.30 and 48,291.80 is: 72,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.20 : 77,967.30 = 48,291.80 : x
  2. Step 2: Convert to fraction form
    51,978.20/77,967.30 = 48,291.80/x
  3. Step 3: Cross multiply
    51,978.20x = 77,967.30 × 48,291.80
  4. Step 4: Simplify right side
    51,978.20x = 3,765,181,258.14
  5. Step 5: Solve for x
    x = 3,765,181,258.14/51,978.20
  6. Step 6: Final answer
    x = 72,437.70

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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.