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Finding the Fourth Proportional to 140,130, 193,379.40 and 89,829

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Solution

The fourth proportional to 140,130, 193,379.40 and 89,829 is: 123,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,130 : 193,379.40 = 89,829 : x
  2. Step 2: Convert to fraction form
    140,130/193,379.40 = 89,829/x
  3. Step 3: Cross multiply
    140,130x = 193,379.40 × 89,829
  4. Step 4: Simplify right side
    140,130x = 17,371,078,122.60
  5. Step 5: Solve for x
    x = 17,371,078,122.60/140,130
  6. Step 6: Final answer
    x = 123,964.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.