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Finding the Fourth Proportional to 48,516, 66,990.72 and 31,528.64

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Solution

The fourth proportional to 48,516, 66,990.72 and 31,528.64 is: 43,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,516 : 66,990.72 = 31,528.64 : x
  2. Step 2: Convert to fraction form
    48,516/66,990.72 = 31,528.64/x
  3. Step 3: Cross multiply
    48,516x = 66,990.72 × 31,528.64
  4. Step 4: Simplify right side
    48,516x = 2,112,126,294.22
  5. Step 5: Solve for x
    x = 2,112,126,294.22/48,516
  6. Step 6: Final answer
    x = 43,534.63

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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.