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Finding the Fourth Proportional to 157,852.89, 217,908.69 and 100,570.77

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Solution

The fourth proportional to 157,852.89, 217,908.69 and 100,570.77 is: 138,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,852.89 : 217,908.69 = 100,570.77 : x
  2. Step 2: Convert to fraction form
    157,852.89/217,908.69 = 100,570.77/x
  3. Step 3: Cross multiply
    157,852.89x = 217,908.69 × 100,570.77
  4. Step 4: Simplify right side
    157,852.89x = 21,915,244,742.99
  5. Step 5: Solve for x
    x = 21,915,244,742.99/157,852.89
  6. Step 6: Final answer
    x = 138,833.35

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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.