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Finding the Fourth Proportional to 210,532.67, 315,924.06 and 77,506.34

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Solution

The fourth proportional to 210,532.67, 315,924.06 and 77,506.34 is: 116,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,532.67 : 315,924.06 = 77,506.34 : x
  2. Step 2: Convert to fraction form
    210,532.67/315,924.06 = 77,506.34/x
  3. Step 3: Cross multiply
    210,532.67x = 315,924.06 × 77,506.34
  4. Step 4: Simplify right side
    210,532.67x = 24,486,116,319.57
  5. Step 5: Solve for x
    x = 24,486,116,319.57/210,532.67
  6. Step 6: Final answer
    x = 116,305.54

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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.