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Finding the Fourth Proportional to 56,388.68, 77,810.10 and 31,231.88

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Solution

The fourth proportional to 56,388.68, 77,810.10 and 31,231.88 is: 43,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,388.68 : 77,810.10 = 31,231.88 : x
  2. Step 2: Convert to fraction form
    56,388.68/77,810.10 = 31,231.88/x
  3. Step 3: Cross multiply
    56,388.68x = 77,810.10 × 31,231.88
  4. Step 4: Simplify right side
    56,388.68x = 2,430,155,705.99
  5. Step 5: Solve for x
    x = 2,430,155,705.99/56,388.68
  6. Step 6: Final answer
    x = 43,096.52

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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.