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Finding the Fourth Proportional to 143,338.90, 214,804.16 and 105,602.20

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Solution

The fourth proportional to 143,338.90, 214,804.16 and 105,602.20 is: 158,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,338.90 : 214,804.16 = 105,602.20 : x
  2. Step 2: Convert to fraction form
    143,338.90/214,804.16 = 105,602.20/x
  3. Step 3: Cross multiply
    143,338.90x = 214,804.16 × 105,602.20
  4. Step 4: Simplify right side
    143,338.90x = 22,683,791,865.15
  5. Step 5: Solve for x
    x = 22,683,791,865.15/143,338.90
  6. Step 6: Final answer
    x = 158,252.87

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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.