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Finding the Fourth Proportional to 228,555.78, 342,829.95 and 76,763.40

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Solution

The fourth proportional to 228,555.78, 342,829.95 and 76,763.40 is: 115,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,555.78 : 342,829.95 = 76,763.40 : x
  2. Step 2: Convert to fraction form
    228,555.78/342,829.95 = 76,763.40/x
  3. Step 3: Cross multiply
    228,555.78x = 342,829.95 × 76,763.40
  4. Step 4: Simplify right side
    228,555.78x = 26,316,792,583.83
  5. Step 5: Solve for x
    x = 26,316,792,583.83/228,555.78
  6. Step 6: Final answer
    x = 115,143.85

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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.