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Finding the Fourth Proportional to 154,317, 212,963.50 and 90,654.24

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Solution

The fourth proportional to 154,317, 212,963.50 and 90,654.24 is: 125,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,317 : 212,963.50 = 90,654.24 : x
  2. Step 2: Convert to fraction form
    154,317/212,963.50 = 90,654.24/x
  3. Step 3: Cross multiply
    154,317x = 212,963.50 × 90,654.24
  4. Step 4: Simplify right side
    154,317x = 19,306,044,240.24
  5. Step 5: Solve for x
    x = 19,306,044,240.24/154,317
  6. Step 6: Final answer
    x = 125,106.40

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1.5x scale

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.