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Finding the Fourth Proportional to 315,136.56, 472,632.84 and 90,495.21

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Solution

The fourth proportional to 315,136.56, 472,632.84 and 90,495.21 is: 135,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,136.56 : 472,632.84 = 90,495.21 : x
  2. Step 2: Convert to fraction form
    315,136.56/472,632.84 = 90,495.21/x
  3. Step 3: Cross multiply
    315,136.56x = 472,632.84 × 90,495.21
  4. Step 4: Simplify right side
    315,136.56x = 42,771,008,108.70
  5. Step 5: Solve for x
    x = 42,771,008,108.70/315,136.56
  6. Step 6: Final answer
    x = 135,722.14

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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.