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Finding the Fourth Proportional to 156,536.96, 216,035.52 and 89,456

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Solution

The fourth proportional to 156,536.96, 216,035.52 and 89,456 is: 123,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,536.96 : 216,035.52 = 89,456 : x
  2. Step 2: Convert to fraction form
    156,536.96/216,035.52 = 89,456/x
  3. Step 3: Cross multiply
    156,536.96x = 216,035.52 × 89,456
  4. Step 4: Simplify right side
    156,536.96x = 19,325,673,477.12
  5. Step 5: Solve for x
    x = 19,325,673,477.12/156,536.96
  6. Step 6: Final answer
    x = 123,457.57

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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.