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Finding the Fourth Proportional to 107,473.64, 161,189.46 and 102,139.32

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Solution

The fourth proportional to 107,473.64, 161,189.46 and 102,139.32 is: 153,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,473.64 : 161,189.46 = 102,139.32 : x
  2. Step 2: Convert to fraction form
    107,473.64/161,189.46 = 102,139.32/x
  3. Step 3: Cross multiply
    107,473.64x = 161,189.46 × 102,139.32
  4. Step 4: Simplify right side
    107,473.64x = 16,463,781,835.57
  5. Step 5: Solve for x
    x = 16,463,781,835.57/107,473.64
  6. Step 6: Final answer
    x = 153,189.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.