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Finding the Fourth Proportional to 140,379.84, 210,680.22 and 65,461.38

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Solution

The fourth proportional to 140,379.84, 210,680.22 and 65,461.38 is: 98,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,379.84 : 210,680.22 = 65,461.38 : x
  2. Step 2: Convert to fraction form
    140,379.84/210,680.22 = 65,461.38/x
  3. Step 3: Cross multiply
    140,379.84x = 210,680.22 × 65,461.38
  4. Step 4: Simplify right side
    140,379.84x = 13,791,417,939.90
  5. Step 5: Solve for x
    x = 13,791,417,939.90/140,379.84
  6. Step 6: Final answer
    x = 98,243.58

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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.