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Finding the Fourth Proportional to 108,768, 163,152 and 38,650.08

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Solution

The fourth proportional to 108,768, 163,152 and 38,650.08 is: 57,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,768 : 163,152 = 38,650.08 : x
  2. Step 2: Convert to fraction form
    108,768/163,152 = 38,650.08/x
  3. Step 3: Cross multiply
    108,768x = 163,152 × 38,650.08
  4. Step 4: Simplify right side
    108,768x = 6,305,837,852.16
  5. Step 5: Solve for x
    x = 6,305,837,852.16/108,768
  6. Step 6: Final answer
    x = 57,975.12

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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.