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Finding the Fourth Proportional to 156,364.64, 215,782.35 and 84,743.90

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Solution

The fourth proportional to 156,364.64, 215,782.35 and 84,743.90 is: 116,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,364.64 : 215,782.35 = 84,743.90 : x
  2. Step 2: Convert to fraction form
    156,364.64/215,782.35 = 84,743.90/x
  3. Step 3: Cross multiply
    156,364.64x = 215,782.35 × 84,743.90
  4. Step 4: Simplify right side
    156,364.64x = 18,286,237,890.17
  5. Step 5: Solve for x
    x = 18,286,237,890.17/156,364.64
  6. Step 6: Final answer
    x = 116,946.12

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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.