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Finding the Fourth Proportional to 142,539.66, 213,858.39 and 53,818.53

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Solution

The fourth proportional to 142,539.66, 213,858.39 and 53,818.53 is: 80,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,539.66 : 213,858.39 = 53,818.53 : x
  2. Step 2: Convert to fraction form
    142,539.66/213,858.39 = 53,818.53/x
  3. Step 3: Cross multiply
    142,539.66x = 213,858.39 × 53,818.53
  4. Step 4: Simplify right side
    142,539.66x = 11,509,544,177.97
  5. Step 5: Solve for x
    x = 11,509,544,177.97/142,539.66
  6. Step 6: Final answer
    x = 80,746.26

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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.