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Finding the Fourth Proportional to 65,500.86, 90,387 and 38,644.50

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Solution

The fourth proportional to 65,500.86, 90,387 and 38,644.50 is: 53,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,500.86 : 90,387 = 38,644.50 : x
  2. Step 2: Convert to fraction form
    65,500.86/90,387 = 38,644.50/x
  3. Step 3: Cross multiply
    65,500.86x = 90,387 × 38,644.50
  4. Step 4: Simplify right side
    65,500.86x = 3,492,960,421.50
  5. Step 5: Solve for x
    x = 3,492,960,421.50/65,500.86
  6. Step 6: Final answer
    x = 53,326.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.