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Finding the Fourth Proportional to 140,292, 210,436.79 and 35,111.48

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Solution

The fourth proportional to 140,292, 210,436.79 and 35,111.48 is: 52,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,292 : 210,436.79 = 35,111.48 : x
  2. Step 2: Convert to fraction form
    140,292/210,436.79 = 35,111.48/x
  3. Step 3: Cross multiply
    140,292x = 210,436.79 × 35,111.48
  4. Step 4: Simplify right side
    140,292x = 7,388,745,915.61
  5. Step 5: Solve for x
    x = 7,388,745,915.61/140,292
  6. Step 6: Final answer
    x = 52,666.91

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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.