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Finding the Fourth Proportional to 57,009.60, 85,384.80 and 29,275.20

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Solution

The fourth proportional to 57,009.60, 85,384.80 and 29,275.20 is: 43,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.60 : 85,384.80 = 29,275.20 : x
  2. Step 2: Convert to fraction form
    57,009.60/85,384.80 = 29,275.20/x
  3. Step 3: Cross multiply
    57,009.60x = 85,384.80 × 29,275.20
  4. Step 4: Simplify right side
    57,009.60x = 2,499,657,096.96
  5. Step 5: Solve for x
    x = 2,499,657,096.96/57,009.60
  6. Step 6: Final answer
    x = 43,846.25

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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.