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Finding the Fourth Proportional to 100,631.40, 150,193.54 and 98,970.49

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Solution

The fourth proportional to 100,631.40, 150,193.54 and 98,970.49 is: 147,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,631.40 : 150,193.54 = 98,970.49 : x
  2. Step 2: Convert to fraction form
    100,631.40/150,193.54 = 98,970.49/x
  3. Step 3: Cross multiply
    100,631.40x = 150,193.54 × 98,970.49
  4. Step 4: Simplify right side
    100,631.40x = 14,864,728,248.63
  5. Step 5: Solve for x
    x = 14,864,728,248.63/100,631.40
  6. Step 6: Final answer
    x = 147,714.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.