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Finding the Fourth Proportional to 154,260, 212,878.80 and 83,604

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Solution

The fourth proportional to 154,260, 212,878.80 and 83,604 is: 115,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,260 : 212,878.80 = 83,604 : x
  2. Step 2: Convert to fraction form
    154,260/212,878.80 = 83,604/x
  3. Step 3: Cross multiply
    154,260x = 212,878.80 × 83,604
  4. Step 4: Simplify right side
    154,260x = 17,797,519,195.20
  5. Step 5: Solve for x
    x = 17,797,519,195.20/154,260
  6. Step 6: Final answer
    x = 115,373.52

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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.