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Finding the Fourth Proportional to 156,335, 215,742.30 and 84,714.44

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Solution

The fourth proportional to 156,335, 215,742.30 and 84,714.44 is: 116,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,335 : 215,742.30 = 84,714.44 : x
  2. Step 2: Convert to fraction form
    156,335/215,742.30 = 84,714.44/x
  3. Step 3: Cross multiply
    156,335x = 215,742.30 × 84,714.44
  4. Step 4: Simplify right side
    156,335x = 18,276,488,128.81
  5. Step 5: Solve for x
    x = 18,276,488,128.81/156,335
  6. Step 6: Final answer
    x = 116,905.93

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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.