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Finding the Fourth Proportional to 156,883.83, 216,499.68 and 85,264.02

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Solution

The fourth proportional to 156,883.83, 216,499.68 and 85,264.02 is: 117,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,883.83 : 216,499.68 = 85,264.02 : x
  2. Step 2: Convert to fraction form
    156,883.83/216,499.68 = 85,264.02/x
  3. Step 3: Cross multiply
    156,883.83x = 216,499.68 × 85,264.02
  4. Step 4: Simplify right side
    156,883.83x = 18,459,633,045.51
  5. Step 5: Solve for x
    x = 18,459,633,045.51/156,883.83
  6. Step 6: Final answer
    x = 117,664.34

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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.