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Finding the Fourth Proportional to 48,278, 72,417.06 and 20,182.68

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Solution

The fourth proportional to 48,278, 72,417.06 and 20,182.68 is: 30,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,278 : 72,417.06 = 20,182.68 : x
  2. Step 2: Convert to fraction form
    48,278/72,417.06 = 20,182.68/x
  3. Step 3: Cross multiply
    48,278x = 72,417.06 × 20,182.68
  4. Step 4: Simplify right side
    48,278x = 1,461,570,348.52
  5. Step 5: Solve for x
    x = 1,461,570,348.52/48,278
  6. Step 6: Final answer
    x = 30,274.05

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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.