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Finding the Fourth Proportional to 77,148.63, 114,879.87 and 74,311.02

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Solution

The fourth proportional to 77,148.63, 114,879.87 and 74,311.02 is: 110,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148.63 : 114,879.87 = 74,311.02 : x
  2. Step 2: Convert to fraction form
    77,148.63/114,879.87 = 74,311.02/x
  3. Step 3: Cross multiply
    77,148.63x = 114,879.87 × 74,311.02
  4. Step 4: Simplify right side
    77,148.63x = 8,536,840,317.17
  5. Step 5: Solve for x
    x = 8,536,840,317.17/77,148.63
  6. Step 6: Final answer
    x = 110,654.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.