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Finding the Fourth Proportional to 72,986.71, 100,724.66 and 46,119.42

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Solution

The fourth proportional to 72,986.71, 100,724.66 and 46,119.42 is: 63,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,986.71 : 100,724.66 = 46,119.42 : x
  2. Step 2: Convert to fraction form
    72,986.71/100,724.66 = 46,119.42/x
  3. Step 3: Cross multiply
    72,986.71x = 100,724.66 × 46,119.42
  4. Step 4: Simplify right side
    72,986.71x = 4,645,362,428.25
  5. Step 5: Solve for x
    x = 4,645,362,428.25/72,986.71
  6. Step 6: Final answer
    x = 63,646.69

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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.