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Finding the Fourth Proportional to 77,023.40, 115,279.10 and 55,903.40

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Solution

The fourth proportional to 77,023.40, 115,279.10 and 55,903.40 is: 83,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,023.40 : 115,279.10 = 55,903.40 : x
  2. Step 2: Convert to fraction form
    77,023.40/115,279.10 = 55,903.40/x
  3. Step 3: Cross multiply
    77,023.40x = 115,279.10 × 55,903.40
  4. Step 4: Simplify right side
    77,023.40x = 6,444,493,638.94
  5. Step 5: Solve for x
    x = 6,444,493,638.94/77,023.40
  6. Step 6: Final answer
    x = 83,669.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.