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Finding the Fourth Proportional to 65,709.68, 90,680.52 and 37,418

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Solution

The fourth proportional to 65,709.68, 90,680.52 and 37,418 is: 51,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709.68 : 90,680.52 = 37,418 : x
  2. Step 2: Convert to fraction form
    65,709.68/90,680.52 = 37,418/x
  3. Step 3: Cross multiply
    65,709.68x = 90,680.52 × 37,418
  4. Step 4: Simplify right side
    65,709.68x = 3,393,083,697.36
  5. Step 5: Solve for x
    x = 3,393,083,697.36/65,709.68
  6. Step 6: Final answer
    x = 51,637.50

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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.