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Finding the Fourth Proportional to 189,185.31, 260,804.36 and 148,828.93

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Solution

The fourth proportional to 189,185.31, 260,804.36 and 148,828.93 is: 205,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,185.31 : 260,804.36 = 148,828.93 : x
  2. Step 2: Convert to fraction form
    189,185.31/260,804.36 = 148,828.93/x
  3. Step 3: Cross multiply
    189,185.31x = 260,804.36 × 148,828.93
  4. Step 4: Simplify right side
    189,185.31x = 38,815,233,838.13
  5. Step 5: Solve for x
    x = 38,815,233,838.13/189,185.31
  6. Step 6: Final answer
    x = 205,170.44

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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.