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Finding the Fourth Proportional to 86,892.50, 130,090.80 and 57,219.86

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Solution

The fourth proportional to 86,892.50, 130,090.80 and 57,219.86 is: 85,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,892.50 : 130,090.80 = 57,219.86 : x
  2. Step 2: Convert to fraction form
    86,892.50/130,090.80 = 57,219.86/x
  3. Step 3: Cross multiply
    86,892.50x = 130,090.80 × 57,219.86
  4. Step 4: Simplify right side
    86,892.50x = 7,443,777,363.29
  5. Step 5: Solve for x
    x = 7,443,777,363.29/86,892.50
  6. Step 6: Final answer
    x = 85,666.51

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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.