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Finding the Fourth Proportional to 52,675.76, 72,690 and 30,020.06

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Solution

The fourth proportional to 52,675.76, 72,690 and 30,020.06 is: 41,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675.76 : 72,690 = 30,020.06 : x
  2. Step 2: Convert to fraction form
    52,675.76/72,690 = 30,020.06/x
  3. Step 3: Cross multiply
    52,675.76x = 72,690 × 30,020.06
  4. Step 4: Simplify right side
    52,675.76x = 2,182,158,161.40
  5. Step 5: Solve for x
    x = 2,182,158,161.40/52,675.76
  6. Step 6: Final answer
    x = 41,426.23

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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.