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Finding the Fourth Proportional to 143,707.69, 198,316.51 and 83,313.42

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Solution

The fourth proportional to 143,707.69, 198,316.51 and 83,313.42 is: 114,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,707.69 : 198,316.51 = 83,313.42 : x
  2. Step 2: Convert to fraction form
    143,707.69/198,316.51 = 83,313.42/x
  3. Step 3: Cross multiply
    143,707.69x = 198,316.51 × 83,313.42
  4. Step 4: Simplify right side
    143,707.69x = 16,522,426,690.56
  5. Step 5: Solve for x
    x = 16,522,426,690.56/143,707.69
  6. Step 6: Final answer
    x = 114,972.46

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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.