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Finding the Fourth Proportional to 157,149.12, 216,906.60 and 99,816

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Solution

The fourth proportional to 157,149.12, 216,906.60 and 99,816 is: 137,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,149.12 : 216,906.60 = 99,816 : x
  2. Step 2: Convert to fraction form
    157,149.12/216,906.60 = 99,816/x
  3. Step 3: Cross multiply
    157,149.12x = 216,906.60 × 99,816
  4. Step 4: Simplify right side
    157,149.12x = 21,650,749,185.60
  5. Step 5: Solve for x
    x = 21,650,749,185.60/157,149.12
  6. Step 6: Final answer
    x = 137,772.00

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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.