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Finding the Fourth Proportional to 210,565.77, 315,372.78 and 147,665.22

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Solution

The fourth proportional to 210,565.77, 315,372.78 and 147,665.22 is: 221,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,565.77 : 315,372.78 = 147,665.22 : x
  2. Step 2: Convert to fraction form
    210,565.77/315,372.78 = 147,665.22/x
  3. Step 3: Cross multiply
    210,565.77x = 315,372.78 × 147,665.22
  4. Step 4: Simplify right side
    210,565.77x = 46,569,590,940.71
  5. Step 5: Solve for x
    x = 46,569,590,940.71/210,565.77
  6. Step 6: Final answer
    x = 221,164.11

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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.