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Finding the Fourth Proportional to 78,197.40, 117,296.28 and 19,032.96

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Solution

The fourth proportional to 78,197.40, 117,296.28 and 19,032.96 is: 28,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.40 : 117,296.28 = 19,032.96 : x
  2. Step 2: Convert to fraction form
    78,197.40/117,296.28 = 19,032.96/x
  3. Step 3: Cross multiply
    78,197.40x = 117,296.28 × 19,032.96
  4. Step 4: Simplify right side
    78,197.40x = 2,232,495,405.39
  5. Step 5: Solve for x
    x = 2,232,495,405.39/78,197.40
  6. Step 6: Final answer
    x = 28,549.48

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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.