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Finding the Fourth Proportional to 64,648.68, 96,975.26 and 17,905

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Solution

The fourth proportional to 64,648.68, 96,975.26 and 17,905 is: 26,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,648.68 : 96,975.26 = 17,905 : x
  2. Step 2: Convert to fraction form
    64,648.68/96,975.26 = 17,905/x
  3. Step 3: Cross multiply
    64,648.68x = 96,975.26 × 17,905
  4. Step 4: Simplify right side
    64,648.68x = 1,736,342,030.30
  5. Step 5: Solve for x
    x = 1,736,342,030.30/64,648.68
  6. Step 6: Final answer
    x = 26,858.12

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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.