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Finding the Fourth Proportional to 56,782.74, 78,357.30 and 32,917.20

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Solution

The fourth proportional to 56,782.74, 78,357.30 and 32,917.20 is: 45,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782.74 : 78,357.30 = 32,917.20 : x
  2. Step 2: Convert to fraction form
    56,782.74/78,357.30 = 32,917.20/x
  3. Step 3: Cross multiply
    56,782.74x = 78,357.30 × 32,917.20
  4. Step 4: Simplify right side
    56,782.74x = 2,579,302,915.56
  5. Step 5: Solve for x
    x = 2,579,302,915.56/56,782.74
  6. Step 6: Final answer
    x = 45,424.07

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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.