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Finding the Fourth Proportional to 210,064.96, 315,096.96 and 90,044.08

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Solution

The fourth proportional to 210,064.96, 315,096.96 and 90,044.08 is: 135,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,064.96 : 315,096.96 = 90,044.08 : x
  2. Step 2: Convert to fraction form
    210,064.96/315,096.96 = 90,044.08/x
  3. Step 3: Cross multiply
    210,064.96x = 315,096.96 × 90,044.08
  4. Step 4: Simplify right side
    210,064.96x = 28,372,615,874.00
  5. Step 5: Solve for x
    x = 28,372,615,874.00/210,064.96
  6. Step 6: Final answer
    x = 135,065.91

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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.