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Finding the Fourth Proportional to 189,042, 260,869.56 and 103,001.28

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Solution

The fourth proportional to 189,042, 260,869.56 and 103,001.28 is: 142,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,042 : 260,869.56 = 103,001.28 : x
  2. Step 2: Convert to fraction form
    189,042/260,869.56 = 103,001.28/x
  3. Step 3: Cross multiply
    189,042x = 260,869.56 × 103,001.28
  4. Step 4: Simplify right side
    189,042x = 26,869,898,593.04
  5. Step 5: Solve for x
    x = 26,869,898,593.04/189,042
  6. Step 6: Final answer
    x = 142,137.19

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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.