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Finding the Fourth Proportional to 78,169.64, 117,253.34 and 19,005.16

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Solution

The fourth proportional to 78,169.64, 117,253.34 and 19,005.16 is: 28,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,169.64 : 117,253.34 = 19,005.16 : x
  2. Step 2: Convert to fraction form
    78,169.64/117,253.34 = 19,005.16/x
  3. Step 3: Cross multiply
    78,169.64x = 117,253.34 × 19,005.16
  4. Step 4: Simplify right side
    78,169.64x = 2,228,418,487.23
  5. Step 5: Solve for x
    x = 2,228,418,487.23/78,169.64
  6. Step 6: Final answer
    x = 28,507.47

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1.5x scale

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.