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Finding the Fourth Proportional to 147,970.40, 204,150.78 and 90,549.90

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Solution

The fourth proportional to 147,970.40, 204,150.78 and 90,549.90 is: 124,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,970.40 : 204,150.78 = 90,549.90 : x
  2. Step 2: Convert to fraction form
    147,970.40/204,150.78 = 90,549.90/x
  3. Step 3: Cross multiply
    147,970.40x = 204,150.78 × 90,549.90
  4. Step 4: Simplify right side
    147,970.40x = 18,485,832,713.92
  5. Step 5: Solve for x
    x = 18,485,832,713.92/147,970.40
  6. Step 6: Final answer
    x = 124,929.27

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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.