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Finding the Fourth Proportional to 188,534.88, 260,178.80 and 103,657.32

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Solution

The fourth proportional to 188,534.88, 260,178.80 and 103,657.32 is: 143,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,534.88 : 260,178.80 = 103,657.32 : x
  2. Step 2: Convert to fraction form
    188,534.88/260,178.80 = 103,657.32/x
  3. Step 3: Cross multiply
    188,534.88x = 260,178.80 × 103,657.32
  4. Step 4: Simplify right side
    188,534.88x = 26,969,437,128.82
  5. Step 5: Solve for x
    x = 26,969,437,128.82/188,534.88
  6. Step 6: Final answer
    x = 143,047.47

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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.