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Finding the Fourth Proportional to 156,143.82, 234,449.01 and 153,811.02

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Solution

The fourth proportional to 156,143.82, 234,449.01 and 153,811.02 is: 230,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,143.82 : 234,449.01 = 153,811.02 : x
  2. Step 2: Convert to fraction form
    156,143.82/234,449.01 = 153,811.02/x
  3. Step 3: Cross multiply
    156,143.82x = 234,449.01 × 153,811.02
  4. Step 4: Simplify right side
    156,143.82x = 36,060,841,366.09
  5. Step 5: Solve for x
    x = 36,060,841,366.09/156,143.82
  6. Step 6: Final answer
    x = 230,946.32

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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.