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Finding the Fourth Proportional to 156,473.61, 215,933.63 and 84,853.61

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Solution

The fourth proportional to 156,473.61, 215,933.63 and 84,853.61 is: 117,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,473.61 : 215,933.63 = 84,853.61 : x
  2. Step 2: Convert to fraction form
    156,473.61/215,933.63 = 84,853.61/x
  3. Step 3: Cross multiply
    156,473.61x = 215,933.63 × 84,853.61
  4. Step 4: Simplify right side
    156,473.61x = 18,322,748,025.90
  5. Step 5: Solve for x
    x = 18,322,748,025.90/156,473.61
  6. Step 6: Final answer
    x = 117,098.01

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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.