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Finding the Fourth Proportional to 51,228, 70,752.96 and 34,431.84

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Solution

The fourth proportional to 51,228, 70,752.96 and 34,431.84 is: 47,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228 : 70,752.96 = 34,431.84 : x
  2. Step 2: Convert to fraction form
    51,228/70,752.96 = 34,431.84/x
  3. Step 3: Cross multiply
    51,228x = 70,752.96 × 34,431.84
  4. Step 4: Simplify right side
    51,228x = 2,436,154,598.25
  5. Step 5: Solve for x
    x = 2,436,154,598.25/51,228
  6. Step 6: Final answer
    x = 47,555.14

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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.