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Finding the Fourth Proportional to 154,406, 213,080.28 and 83,750

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Solution

The fourth proportional to 154,406, 213,080.28 and 83,750 is: 115,575

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,406 : 213,080.28 = 83,750 : x
  2. Step 2: Convert to fraction form
    154,406/213,080.28 = 83,750/x
  3. Step 3: Cross multiply
    154,406x = 213,080.28 × 83,750
  4. Step 4: Simplify right side
    154,406x = 17,845,473,450
  5. Step 5: Solve for x
    x = 17,845,473,450/154,406
  6. Step 6: Final answer
    x = 115,575

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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.