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Finding the Fourth Proportional to 156,878.46, 216,495.47 and 85,263.09

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Solution

The fourth proportional to 156,878.46, 216,495.47 and 85,263.09 is: 117,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,878.46 : 216,495.47 = 85,263.09 : x
  2. Step 2: Convert to fraction form
    156,878.46/216,495.47 = 85,263.09/x
  3. Step 3: Cross multiply
    156,878.46x = 216,495.47 × 85,263.09
  4. Step 4: Simplify right side
    156,878.46x = 18,459,072,743.20
  5. Step 5: Solve for x
    x = 18,459,072,743.20/156,878.46
  6. Step 6: Final answer
    x = 117,664.80

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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.