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Finding the Fourth Proportional to 57,955.70, 86,820.75 and 42,730.54

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Solution

The fourth proportional to 57,955.70, 86,820.75 and 42,730.54 is: 64,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,955.70 : 86,820.75 = 42,730.54 : x
  2. Step 2: Convert to fraction form
    57,955.70/86,820.75 = 42,730.54/x
  3. Step 3: Cross multiply
    57,955.70x = 86,820.75 × 42,730.54
  4. Step 4: Simplify right side
    57,955.70x = 3,709,897,203.43
  5. Step 5: Solve for x
    x = 3,709,897,203.43/57,955.70
  6. Step 6: Final answer
    x = 64,012.64

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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.