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Finding the Fourth Proportional to 228,533.52, 342,822.96 and 78,753.72

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Solution

The fourth proportional to 228,533.52, 342,822.96 and 78,753.72 is: 118,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,533.52 : 342,822.96 = 78,753.72 : x
  2. Step 2: Convert to fraction form
    228,533.52/342,822.96 = 78,753.72/x
  3. Step 3: Cross multiply
    228,533.52x = 342,822.96 × 78,753.72
  4. Step 4: Simplify right side
    228,533.52x = 26,998,583,401.41
  5. Step 5: Solve for x
    x = 26,998,583,401.41/228,533.52
  6. Step 6: Final answer
    x = 118,138.40

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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.