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Finding the Fourth Proportional to 131,284, 195,901.54 and 117,146.80

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Solution

The fourth proportional to 131,284, 195,901.54 and 117,146.80 is: 174,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,284 : 195,901.54 = 117,146.80 : x
  2. Step 2: Convert to fraction form
    131,284/195,901.54 = 117,146.80/x
  3. Step 3: Cross multiply
    131,284x = 195,901.54 × 117,146.80
  4. Step 4: Simplify right side
    131,284x = 22,949,238,526.07
  5. Step 5: Solve for x
    x = 22,949,238,526.07/131,284
  6. Step 6: Final answer
    x = 174,806.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.