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Finding the Fourth Proportional to 78,106.60, 107,787.46 and 42,296.68

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Solution

The fourth proportional to 78,106.60, 107,787.46 and 42,296.68 is: 58,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.60 : 107,787.46 = 42,296.68 : x
  2. Step 2: Convert to fraction form
    78,106.60/107,787.46 = 42,296.68/x
  3. Step 3: Cross multiply
    78,106.60x = 107,787.46 × 42,296.68
  4. Step 4: Simplify right side
    78,106.60x = 4,559,051,703.63
  5. Step 5: Solve for x
    x = 4,559,051,703.63/78,106.60
  6. Step 6: Final answer
    x = 58,369.61

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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.