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Finding the Fourth Proportional to 77,023.65, 106,235.78 and 48,702

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Solution

The fourth proportional to 77,023.65, 106,235.78 and 48,702 is: 67,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,023.65 : 106,235.78 = 48,702 : x
  2. Step 2: Convert to fraction form
    77,023.65/106,235.78 = 48,702/x
  3. Step 3: Cross multiply
    77,023.65x = 106,235.78 × 48,702
  4. Step 4: Simplify right side
    77,023.65x = 5,173,894,714.05
  5. Step 5: Solve for x
    x = 5,173,894,714.05/77,023.65
  6. Step 6: Final answer
    x = 67,172.81

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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.