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Finding the Fourth Proportional to 89,892.88, 134,800.10 and 47,762.80

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Solution

The fourth proportional to 89,892.88, 134,800.10 and 47,762.80 is: 71,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,892.88 : 134,800.10 = 47,762.80 : x
  2. Step 2: Convert to fraction form
    89,892.88/134,800.10 = 47,762.80/x
  3. Step 3: Cross multiply
    89,892.88x = 134,800.10 × 47,762.80
  4. Step 4: Simplify right side
    89,892.88x = 6,438,430,112.87
  5. Step 5: Solve for x
    x = 6,438,430,112.87/89,892.88
  6. Step 6: Final answer
    x = 71,623.36

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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.