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Finding the Fourth Proportional to 48,545.23, 66,978.88 and 31,310.30

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Solution

The fourth proportional to 48,545.23, 66,978.88 and 31,310.30 is: 43,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,545.23 : 66,978.88 = 31,310.30 : x
  2. Step 2: Convert to fraction form
    48,545.23/66,978.88 = 31,310.30/x
  3. Step 3: Cross multiply
    48,545.23x = 66,978.88 × 31,310.30
  4. Step 4: Simplify right side
    48,545.23x = 2,097,128,748.19
  5. Step 5: Solve for x
    x = 2,097,128,748.19/48,545.23
  6. Step 6: Final answer
    x = 43,199.49

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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.