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Finding the Fourth Proportional to 162,503.48, 243,558.36 and 142,820.48

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Solution

The fourth proportional to 162,503.48, 243,558.36 and 142,820.48 is: 214,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,503.48 : 243,558.36 = 142,820.48 : x
  2. Step 2: Convert to fraction form
    162,503.48/243,558.36 = 142,820.48/x
  3. Step 3: Cross multiply
    162,503.48x = 243,558.36 × 142,820.48
  4. Step 4: Simplify right side
    162,503.48x = 34,785,121,883.21
  5. Step 5: Solve for x
    x = 34,785,121,883.21/162,503.48
  6. Step 6: Final answer
    x = 214,057.70

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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.