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Finding the Fourth Proportional to 189,083.43, 260,931.72 and 103,043.16

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Solution

The fourth proportional to 189,083.43, 260,931.72 and 103,043.16 is: 142,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,083.43 : 260,931.72 = 103,043.16 : x
  2. Step 2: Convert to fraction form
    189,083.43/260,931.72 = 103,043.16/x
  3. Step 3: Cross multiply
    189,083.43x = 260,931.72 × 103,043.16
  4. Step 4: Simplify right side
    189,083.43x = 26,887,228,973.04
  5. Step 5: Solve for x
    x = 26,887,228,973.04/189,083.43
  6. Step 6: Final answer
    x = 142,197.70

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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.