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Finding the Fourth Proportional to 189,051.82, 260,890.02 and 103,010.50

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Solution

The fourth proportional to 189,051.82, 260,890.02 and 103,010.50 is: 142,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,051.82 : 260,890.02 = 103,010.50 : x
  2. Step 2: Convert to fraction form
    189,051.82/260,890.02 = 103,010.50/x
  3. Step 3: Cross multiply
    189,051.82x = 260,890.02 × 103,010.50
  4. Step 4: Simplify right side
    189,051.82x = 26,874,411,405.21
  5. Step 5: Solve for x
    x = 26,874,411,405.21/189,051.82
  6. Step 6: Final answer
    x = 142,153.68

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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.