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Finding the Fourth Proportional to 51,117, 70,541.48 and 28,761

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Solution

The fourth proportional to 51,117, 70,541.48 and 28,761 is: 39,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,117 : 70,541.48 = 28,761 : x
  2. Step 2: Convert to fraction form
    51,117/70,541.48 = 28,761/x
  3. Step 3: Cross multiply
    51,117x = 70,541.48 × 28,761
  4. Step 4: Simplify right side
    51,117x = 2,028,843,506.28
  5. Step 5: Solve for x
    x = 2,028,843,506.28/51,117
  6. Step 6: Final answer
    x = 39,690.19

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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.