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Finding the Fourth Proportional to 77,978.30, 117,007.95 and 36,425.30

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Solution

The fourth proportional to 77,978.30, 117,007.95 and 36,425.30 is: 54,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.30 : 117,007.95 = 36,425.30 : x
  2. Step 2: Convert to fraction form
    77,978.30/117,007.95 = 36,425.30/x
  3. Step 3: Cross multiply
    77,978.30x = 117,007.95 × 36,425.30
  4. Step 4: Simplify right side
    77,978.30x = 4,262,049,681.14
  5. Step 5: Solve for x
    x = 4,262,049,681.14/77,978.30
  6. Step 6: Final answer
    x = 54,656.87

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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.