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Finding the Fourth Proportional to 140,512.84, 210,769.02 and 65,607.88

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Solution

The fourth proportional to 140,512.84, 210,769.02 and 65,607.88 is: 98,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512.84 : 210,769.02 = 65,607.88 : x
  2. Step 2: Convert to fraction form
    140,512.84/210,769.02 = 65,607.88/x
  3. Step 3: Cross multiply
    140,512.84x = 210,769.02 × 65,607.88
  4. Step 4: Simplify right side
    140,512.84x = 13,828,108,571.88
  5. Step 5: Solve for x
    x = 13,828,108,571.88/140,512.84
  6. Step 6: Final answer
    x = 98,411.71

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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.