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Finding the Fourth Proportional to 156,649.86, 234,764.31 and 85,465.83

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Solution

The fourth proportional to 156,649.86, 234,764.31 and 85,465.83 is: 128,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,649.86 : 234,764.31 = 85,465.83 : x
  2. Step 2: Convert to fraction form
    156,649.86/234,764.31 = 85,465.83/x
  3. Step 3: Cross multiply
    156,649.86x = 234,764.31 × 85,465.83
  4. Step 4: Simplify right side
    156,649.86x = 20,064,326,574.99
  5. Step 5: Solve for x
    x = 20,064,326,574.99/156,649.86
  6. Step 6: Final answer
    x = 128,083.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.