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Finding the Fourth Proportional to 77,787.22, 107,348.53 and 47,572

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Solution

The fourth proportional to 77,787.22, 107,348.53 and 47,572 is: 65,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787.22 : 107,348.53 = 47,572 : x
  2. Step 2: Convert to fraction form
    77,787.22/107,348.53 = 47,572/x
  3. Step 3: Cross multiply
    77,787.22x = 107,348.53 × 47,572
  4. Step 4: Simplify right side
    77,787.22x = 5,106,784,269.16
  5. Step 5: Solve for x
    x = 5,106,784,269.16/77,787.22
  6. Step 6: Final answer
    x = 65,650.68

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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.