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Finding the Fourth Proportional to 77,980.71, 117,022.95 and 42,450.98

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Solution

The fourth proportional to 77,980.71, 117,022.95 and 42,450.98 is: 63,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980.71 : 117,022.95 = 42,450.98 : x
  2. Step 2: Convert to fraction form
    77,980.71/117,022.95 = 42,450.98/x
  3. Step 3: Cross multiply
    77,980.71x = 117,022.95 × 42,450.98
  4. Step 4: Simplify right side
    77,980.71x = 4,967,739,202.55
  5. Step 5: Solve for x
    x = 4,967,739,202.55/77,980.71
  6. Step 6: Final answer
    x = 63,704.72

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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.