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Finding the Fourth Proportional to 153,812.62, 212,235.98 and 102,743.43

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Solution

The fourth proportional to 153,812.62, 212,235.98 and 102,743.43 is: 141,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,812.62 : 212,235.98 = 102,743.43 : x
  2. Step 2: Convert to fraction form
    153,812.62/212,235.98 = 102,743.43/x
  3. Step 3: Cross multiply
    153,812.62x = 212,235.98 × 102,743.43
  4. Step 4: Simplify right side
    153,812.62x = 21,805,852,554.61
  5. Step 5: Solve for x
    x = 21,805,852,554.61/153,812.62
  6. Step 6: Final answer
    x = 141,768.95

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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.