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Finding the Fourth Proportional to 48,259.71, 72,471.78 and 31,421.40

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Solution

The fourth proportional to 48,259.71, 72,471.78 and 31,421.40 is: 47,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,259.71 : 72,471.78 = 31,421.40 : x
  2. Step 2: Convert to fraction form
    48,259.71/72,471.78 = 31,421.40/x
  3. Step 3: Cross multiply
    48,259.71x = 72,471.78 × 31,421.40
  4. Step 4: Simplify right side
    48,259.71x = 2,277,164,788.09
  5. Step 5: Solve for x
    x = 2,277,164,788.09/48,259.71
  6. Step 6: Final answer
    x = 47,185.63

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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.