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Finding the Fourth Proportional to 65,698.78, 98,548.71 and 28,256.26

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Solution

The fourth proportional to 65,698.78, 98,548.71 and 28,256.26 is: 42,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698.78 : 98,548.71 = 28,256.26 : x
  2. Step 2: Convert to fraction form
    65,698.78/98,548.71 = 28,256.26/x
  3. Step 3: Cross multiply
    65,698.78x = 98,548.71 × 28,256.26
  4. Step 4: Simplify right side
    65,698.78x = 2,784,617,972.42
  5. Step 5: Solve for x
    x = 2,784,617,972.42/65,698.78
  6. Step 6: Final answer
    x = 42,384.62

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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.