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Finding the Fourth Proportional to 228,337.57, 342,543.21 and 78,541.30

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Solution

The fourth proportional to 228,337.57, 342,543.21 and 78,541.30 is: 117,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,337.57 : 342,543.21 = 78,541.30 : x
  2. Step 2: Convert to fraction form
    228,337.57/342,543.21 = 78,541.30/x
  3. Step 3: Cross multiply
    228,337.57x = 342,543.21 × 78,541.30
  4. Step 4: Simplify right side
    228,337.57x = 26,903,789,019.57
  5. Step 5: Solve for x
    x = 26,903,789,019.57/228,337.57
  6. Step 6: Final answer
    x = 117,824.63

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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.