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Finding the Fourth Proportional to 78,052.77, 107,722.35 and 47,842.40

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Solution

The fourth proportional to 78,052.77, 107,722.35 and 47,842.40 is: 66,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052.77 : 107,722.35 = 47,842.40 : x
  2. Step 2: Convert to fraction form
    78,052.77/107,722.35 = 47,842.40/x
  3. Step 3: Cross multiply
    78,052.77x = 107,722.35 × 47,842.40
  4. Step 4: Simplify right side
    78,052.77x = 5,153,695,219.03
  5. Step 5: Solve for x
    x = 5,153,695,219.03/78,052.77
  6. Step 6: Final answer
    x = 66,028.34

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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.