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Finding the Fourth Proportional to 51,057, 70,461 and 28,398.28

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Solution

The fourth proportional to 51,057, 70,461 and 28,398.28 is: 39,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,057 : 70,461 = 28,398.28 : x
  2. Step 2: Convert to fraction form
    51,057/70,461 = 28,398.28/x
  3. Step 3: Cross multiply
    51,057x = 70,461 × 28,398.28
  4. Step 4: Simplify right side
    51,057x = 2,000,971,207.08
  5. Step 5: Solve for x
    x = 2,000,971,207.08/51,057
  6. Step 6: Final answer
    x = 39,190.93

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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.