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Finding the Fourth Proportional to 48,422.61, 72,635.67 and 13,365

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Solution

The fourth proportional to 48,422.61, 72,635.67 and 13,365 is: 20,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,422.61 : 72,635.67 = 13,365 : x
  2. Step 2: Convert to fraction form
    48,422.61/72,635.67 = 13,365/x
  3. Step 3: Cross multiply
    48,422.61x = 72,635.67 × 13,365
  4. Step 4: Simplify right side
    48,422.61x = 970,775,729.55
  5. Step 5: Solve for x
    x = 970,775,729.55/48,422.61
  6. Step 6: Final answer
    x = 20,047.98

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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.