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Finding the Fourth Proportional to 118,902.66, 163,942.20 and 102,740.76

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Solution

The fourth proportional to 118,902.66, 163,942.20 and 102,740.76 is: 141,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,902.66 : 163,942.20 = 102,740.76 : x
  2. Step 2: Convert to fraction form
    118,902.66/163,942.20 = 102,740.76/x
  3. Step 3: Cross multiply
    118,902.66x = 163,942.20 × 102,740.76
  4. Step 4: Simplify right side
    118,902.66x = 16,843,546,224.07
  5. Step 5: Solve for x
    x = 16,843,546,224.07/118,902.66
  6. Step 6: Final answer
    x = 141,658.28

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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.