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Finding the Fourth Proportional to 72,684.90, 109,061.76 and 30,574.20

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Solution

The fourth proportional to 72,684.90, 109,061.76 and 30,574.20 is: 45,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,684.90 : 109,061.76 = 30,574.20 : x
  2. Step 2: Convert to fraction form
    72,684.90/109,061.76 = 30,574.20/x
  3. Step 3: Cross multiply
    72,684.90x = 109,061.76 × 30,574.20
  4. Step 4: Simplify right side
    72,684.90x = 3,334,476,062.59
  5. Step 5: Solve for x
    x = 3,334,476,062.59/72,684.90
  6. Step 6: Final answer
    x = 45,875.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.