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Finding the Fourth Proportional to 230,302.84, 345,192.21 and 140,146.71

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Solution

The fourth proportional to 230,302.84, 345,192.21 and 140,146.71 is: 210,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,302.84 : 345,192.21 = 140,146.71 : x
  2. Step 2: Convert to fraction form
    230,302.84/345,192.21 = 140,146.71/x
  3. Step 3: Cross multiply
    230,302.84x = 345,192.21 × 140,146.71
  4. Step 4: Simplify right side
    230,302.84x = 48,377,551,848.40
  5. Step 5: Solve for x
    x = 48,377,551,848.40/230,302.84
  6. Step 6: Final answer
    x = 210,060.60

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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.