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Finding the Fourth Proportional to 102,965.40, 154,448.10 and 63,394.20

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Solution

The fourth proportional to 102,965.40, 154,448.10 and 63,394.20 is: 95,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,965.40 : 154,448.10 = 63,394.20 : x
  2. Step 2: Convert to fraction form
    102,965.40/154,448.10 = 63,394.20/x
  3. Step 3: Cross multiply
    102,965.40x = 154,448.10 × 63,394.20
  4. Step 4: Simplify right side
    102,965.40x = 9,791,113,741.02
  5. Step 5: Solve for x
    x = 9,791,113,741.02/102,965.40
  6. Step 6: Final answer
    x = 95,091.30

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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.