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Finding the Fourth Proportional to 161,721.60, 242,323.20 and 102,451.20

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Solution

The fourth proportional to 161,721.60, 242,323.20 and 102,451.20 is: 153,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,721.60 : 242,323.20 = 102,451.20 : x
  2. Step 2: Convert to fraction form
    161,721.60/242,323.20 = 102,451.20/x
  3. Step 3: Cross multiply
    161,721.60x = 242,323.20 × 102,451.20
  4. Step 4: Simplify right side
    161,721.60x = 24,826,302,627.84
  5. Step 5: Solve for x
    x = 24,826,302,627.84/161,721.60
  6. Step 6: Final answer
    x = 153,512.60

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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.