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Finding the Fourth Proportional to 210,507.66, 315,986.28 and 90,623.94

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Solution

The fourth proportional to 210,507.66, 315,986.28 and 90,623.94 is: 136,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,507.66 : 315,986.28 = 90,623.94 : x
  2. Step 2: Convert to fraction form
    210,507.66/315,986.28 = 90,623.94/x
  3. Step 3: Cross multiply
    210,507.66x = 315,986.28 × 90,623.94
  4. Step 4: Simplify right side
    210,507.66x = 28,635,921,679.54
  5. Step 5: Solve for x
    x = 28,635,921,679.54/210,507.66
  6. Step 6: Final answer
    x = 136,032.68

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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.