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Finding the Fourth Proportional to 145,971.20, 218,905.60 and 75,827.20

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Solution

The fourth proportional to 145,971.20, 218,905.60 and 75,827.20 is: 113,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,971.20 : 218,905.60 = 75,827.20 : x
  2. Step 2: Convert to fraction form
    145,971.20/218,905.60 = 75,827.20/x
  3. Step 3: Cross multiply
    145,971.20x = 218,905.60 × 75,827.20
  4. Step 4: Simplify right side
    145,971.20x = 16,598,998,712.32
  5. Step 5: Solve for x
    x = 16,598,998,712.32/145,971.20
  6. Step 6: Final answer
    x = 113,714.20

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1.5x scale

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.