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Finding the Fourth Proportional to 157,415.86, 217,227.54 and 85,794.34

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Solution

The fourth proportional to 157,415.86, 217,227.54 and 85,794.34 is: 118,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,415.86 : 217,227.54 = 85,794.34 : x
  2. Step 2: Convert to fraction form
    157,415.86/217,227.54 = 85,794.34/x
  3. Step 3: Cross multiply
    157,415.86x = 217,227.54 × 85,794.34
  4. Step 4: Simplify right side
    157,415.86x = 18,636,893,424.12
  5. Step 5: Solve for x
    x = 18,636,893,424.12/157,415.86
  6. Step 6: Final answer
    x = 118,392.73

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1.5x scale

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.