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Finding the Fourth Proportional to 141,201, 194,901.12 and 90,900

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Solution

The fourth proportional to 141,201, 194,901.12 and 90,900 is: 125,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,201 : 194,901.12 = 90,900 : x
  2. Step 2: Convert to fraction form
    141,201/194,901.12 = 90,900/x
  3. Step 3: Cross multiply
    141,201x = 194,901.12 × 90,900
  4. Step 4: Simplify right side
    141,201x = 17,716,511,808
  5. Step 5: Solve for x
    x = 17,716,511,808/141,201
  6. Step 6: Final answer
    x = 125,470.16

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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.