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Finding the Fourth Proportional to 109,314.60, 163,971.90 and 97,067.40

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Solution

The fourth proportional to 109,314.60, 163,971.90 and 97,067.40 is: 145,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,314.60 : 163,971.90 = 97,067.40 : x
  2. Step 2: Convert to fraction form
    109,314.60/163,971.90 = 97,067.40/x
  3. Step 3: Cross multiply
    109,314.60x = 163,971.90 × 97,067.40
  4. Step 4: Simplify right side
    109,314.60x = 15,916,326,006.06
  5. Step 5: Solve for x
    x = 15,916,326,006.06/109,314.60
  6. Step 6: Final answer
    x = 145,601.10

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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.