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Finding the Fourth Proportional to 194,762.31, 291,967.13 and 76,401.87

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Solution

The fourth proportional to 194,762.31, 291,967.13 and 76,401.87 is: 114,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,762.31 : 291,967.13 = 76,401.87 : x
  2. Step 2: Convert to fraction form
    194,762.31/291,967.13 = 76,401.87/x
  3. Step 3: Cross multiply
    194,762.31x = 291,967.13 × 76,401.87
  4. Step 4: Simplify right side
    194,762.31x = 22,306,833,806.66
  5. Step 5: Solve for x
    x = 22,306,833,806.66/194,762.31
  6. Step 6: Final answer
    x = 114,533.63

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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.