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Finding the Fourth Proportional to 113,706.37, 156,942.93 and 77,467.78

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Solution

The fourth proportional to 113,706.37, 156,942.93 and 77,467.78 is: 106,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,706.37 : 156,942.93 = 77,467.78 : x
  2. Step 2: Convert to fraction form
    113,706.37/156,942.93 = 77,467.78/x
  3. Step 3: Cross multiply
    113,706.37x = 156,942.93 × 77,467.78
  4. Step 4: Simplify right side
    113,706.37x = 12,158,020,373.80
  5. Step 5: Solve for x
    x = 12,158,020,373.80/113,706.37
  6. Step 6: Final answer
    x = 106,924.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.