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Finding the Fourth Proportional to 156,564, 216,058.32 and 89,497.44

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Solution

The fourth proportional to 156,564, 216,058.32 and 89,497.44 is: 123,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,564 : 216,058.32 = 89,497.44 : x
  2. Step 2: Convert to fraction form
    156,564/216,058.32 = 89,497.44/x
  3. Step 3: Cross multiply
    156,564x = 216,058.32 × 89,497.44
  4. Step 4: Simplify right side
    156,564x = 19,336,666,530.70
  5. Step 5: Solve for x
    x = 19,336,666,530.70/156,564
  6. Step 6: Final answer
    x = 123,506.47

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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.