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Finding the Fourth Proportional to 143,809.73, 198,458.08 and 83,416.13

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Solution

The fourth proportional to 143,809.73, 198,458.08 and 83,416.13 is: 115,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,809.73 : 198,458.08 = 83,416.13 : x
  2. Step 2: Convert to fraction form
    143,809.73/198,458.08 = 83,416.13/x
  3. Step 3: Cross multiply
    143,809.73x = 198,458.08 × 83,416.13
  4. Step 4: Simplify right side
    143,809.73x = 16,554,604,008.54
  5. Step 5: Solve for x
    x = 16,554,604,008.54/143,809.73
  6. Step 6: Final answer
    x = 115,114.64

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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.