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Finding the Fourth Proportional to 147,290.91, 203,262.82 and 83,630.07

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Solution

The fourth proportional to 147,290.91, 203,262.82 and 83,630.07 is: 115,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,290.91 : 203,262.82 = 83,630.07 : x
  2. Step 2: Convert to fraction form
    147,290.91/203,262.82 = 83,630.07/x
  3. Step 3: Cross multiply
    147,290.91x = 203,262.82 × 83,630.07
  4. Step 4: Simplify right side
    147,290.91x = 16,998,883,655.92
  5. Step 5: Solve for x
    x = 16,998,883,655.92/147,290.91
  6. Step 6: Final answer
    x = 115,410.27

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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.