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Finding the Fourth Proportional to 76,802.50, 115,204.56 and 21,398.50

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Solution

The fourth proportional to 76,802.50, 115,204.56 and 21,398.50 is: 32,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.50 : 115,204.56 = 21,398.50 : x
  2. Step 2: Convert to fraction form
    76,802.50/115,204.56 = 21,398.50/x
  3. Step 3: Cross multiply
    76,802.50x = 115,204.56 × 21,398.50
  4. Step 4: Simplify right side
    76,802.50x = 2,465,204,777.16
  5. Step 5: Solve for x
    x = 2,465,204,777.16/76,802.50
  6. Step 6: Final answer
    x = 32,097.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.