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Finding the Fourth Proportional to 284,160, 426,247.68 and 87,168

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Solution

The fourth proportional to 284,160, 426,247.68 and 87,168 is: 130,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,160 : 426,247.68 = 87,168 : x
  2. Step 2: Convert to fraction form
    284,160/426,247.68 = 87,168/x
  3. Step 3: Cross multiply
    284,160x = 426,247.68 × 87,168
  4. Step 4: Simplify right side
    284,160x = 37,155,157,770.24
  5. Step 5: Solve for x
    x = 37,155,157,770.24/284,160
  6. Step 6: Final answer
    x = 130,754.36

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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.