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Finding the Fourth Proportional to 147,312.80, 220,742.40 and 109,696.40

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Solution

The fourth proportional to 147,312.80, 220,742.40 and 109,696.40 is: 164,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,312.80 : 220,742.40 = 109,696.40 : x
  2. Step 2: Convert to fraction form
    147,312.80/220,742.40 = 109,696.40/x
  3. Step 3: Cross multiply
    147,312.80x = 220,742.40 × 109,696.40
  4. Step 4: Simplify right side
    147,312.80x = 24,214,646,607.36
  5. Step 5: Solve for x
    x = 24,214,646,607.36/147,312.80
  6. Step 6: Final answer
    x = 164,375.71

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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.