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Finding the Fourth Proportional to 77,188.60, 106,541.22 and 45,367.72

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Solution

The fourth proportional to 77,188.60, 106,541.22 and 45,367.72 is: 62,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,188.60 : 106,541.22 = 45,367.72 : x
  2. Step 2: Convert to fraction form
    77,188.60/106,541.22 = 45,367.72/x
  3. Step 3: Cross multiply
    77,188.60x = 106,541.22 × 45,367.72
  4. Step 4: Simplify right side
    77,188.60x = 4,833,532,237.42
  5. Step 5: Solve for x
    x = 4,833,532,237.42/77,188.60
  6. Step 6: Final answer
    x = 62,619.77

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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.