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Finding the Fourth Proportional to 156,784, 216,364.25 and 88,799.28

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Solution

The fourth proportional to 156,784, 216,364.25 and 88,799.28 is: 122,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784 : 216,364.25 = 88,799.28 : x
  2. Step 2: Convert to fraction form
    156,784/216,364.25 = 88,799.28/x
  3. Step 3: Cross multiply
    156,784x = 216,364.25 × 88,799.28
  4. Step 4: Simplify right side
    156,784x = 19,212,989,173.74
  5. Step 5: Solve for x
    x = 19,212,989,173.74/156,784
  6. Step 6: Final answer
    x = 122,544.32

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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.