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Finding the Fourth Proportional to 131,477, 197,117.04 and 42,677.48

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Solution

The fourth proportional to 131,477, 197,117.04 and 42,677.48 is: 63,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,477 : 197,117.04 = 42,677.48 : x
  2. Step 2: Convert to fraction form
    131,477/197,117.04 = 42,677.48/x
  3. Step 3: Cross multiply
    131,477x = 197,117.04 × 42,677.48
  4. Step 4: Simplify right side
    131,477x = 8,412,458,532.26
  5. Step 5: Solve for x
    x = 8,412,458,532.26/131,477
  6. Step 6: Final answer
    x = 63,984.26

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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.