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Finding the Fourth Proportional to 157,410, 217,223.10 and 85,790.88

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Solution

The fourth proportional to 157,410, 217,223.10 and 85,790.88 is: 118,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,410 : 217,223.10 = 85,790.88 : x
  2. Step 2: Convert to fraction form
    157,410/217,223.10 = 85,790.88/x
  3. Step 3: Cross multiply
    157,410x = 217,223.10 × 85,790.88
  4. Step 4: Simplify right side
    157,410x = 18,635,760,905.33
  5. Step 5: Solve for x
    x = 18,635,760,905.33/157,410
  6. Step 6: Final answer
    x = 118,389.94

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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.