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Finding the Fourth Proportional to 156,165.64, 215,509.76 and 84,546.87

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Solution

The fourth proportional to 156,165.64, 215,509.76 and 84,546.87 is: 116,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,165.64 : 215,509.76 = 84,546.87 : x
  2. Step 2: Convert to fraction form
    156,165.64/215,509.76 = 84,546.87/x
  3. Step 3: Cross multiply
    156,165.64x = 215,509.76 × 84,546.87
  4. Step 4: Simplify right side
    156,165.64x = 18,220,675,662.45
  5. Step 5: Solve for x
    x = 18,220,675,662.45/156,165.64
  6. Step 6: Final answer
    x = 116,675.32

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1.5x scale

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.