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Finding the Fourth Proportional to 228,442.60, 342,626.10 and 76,637.80

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Solution

The fourth proportional to 228,442.60, 342,626.10 and 76,637.80 is: 114,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,442.60 : 342,626.10 = 76,637.80 : x
  2. Step 2: Convert to fraction form
    228,442.60/342,626.10 = 76,637.80/x
  3. Step 3: Cross multiply
    228,442.60x = 342,626.10 × 76,637.80
  4. Step 4: Simplify right side
    228,442.60x = 26,258,110,526.58
  5. Step 5: Solve for x
    x = 26,258,110,526.58/228,442.60
  6. Step 6: Final answer
    x = 114,944.02

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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.