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Finding the Fourth Proportional to 116,264, 174,459 and 90,020

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Solution

The fourth proportional to 116,264, 174,459 and 90,020 is: 135,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,264 : 174,459 = 90,020 : x
  2. Step 2: Convert to fraction form
    116,264/174,459 = 90,020/x
  3. Step 3: Cross multiply
    116,264x = 174,459 × 90,020
  4. Step 4: Simplify right side
    116,264x = 15,704,799,180
  5. Step 5: Solve for x
    x = 15,704,799,180/116,264
  6. Step 6: Final answer
    x = 135,078.78

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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.