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Finding the Fourth Proportional to 157,840.80, 217,824.98 and 86,222.00

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Solution

The fourth proportional to 157,840.80, 217,824.98 and 86,222.00 is: 118,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,840.80 : 217,824.98 = 86,222.00 : x
  2. Step 2: Convert to fraction form
    157,840.80/217,824.98 = 86,222.00/x
  3. Step 3: Cross multiply
    157,840.80x = 217,824.98 × 86,222.00
  4. Step 4: Simplify right side
    157,840.80x = 18,781,303,905.33
  5. Step 5: Solve for x
    x = 18,781,303,905.33/157,840.80
  6. Step 6: Final answer
    x = 118,988.90

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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.