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Finding the Fourth Proportional to 188,420.58, 260,017.43 and 103,535.82

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Solution

The fourth proportional to 188,420.58, 260,017.43 and 103,535.82 is: 142,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,420.58 : 260,017.43 = 103,535.82 : x
  2. Step 2: Convert to fraction form
    188,420.58/260,017.43 = 103,535.82/x
  3. Step 3: Cross multiply
    188,420.58x = 260,017.43 × 103,535.82
  4. Step 4: Simplify right side
    188,420.58x = 26,921,117,311.66
  5. Step 5: Solve for x
    x = 26,921,117,311.66/188,420.58
  6. Step 6: Final answer
    x = 142,877.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.