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Finding the Fourth Proportional to 228,447.64, 342,672.15 and 78,685.98

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Solution

The fourth proportional to 228,447.64, 342,672.15 and 78,685.98 is: 118,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,447.64 : 342,672.15 = 78,685.98 : x
  2. Step 2: Convert to fraction form
    228,447.64/342,672.15 = 78,685.98/x
  3. Step 3: Cross multiply
    228,447.64x = 342,672.15 × 78,685.98
  4. Step 4: Simplify right side
    228,447.64x = 26,963,494,215.13
  5. Step 5: Solve for x
    x = 26,963,494,215.13/228,447.64
  6. Step 6: Final answer
    x = 118,029.21

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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.