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Finding the Fourth Proportional to 157,829, 217,795.14 and 89,862.56

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Solution

The fourth proportional to 157,829, 217,795.14 and 89,862.56 is: 124,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,829 : 217,795.14 = 89,862.56 : x
  2. Step 2: Convert to fraction form
    157,829/217,795.14 = 89,862.56/x
  3. Step 3: Cross multiply
    157,829x = 217,795.14 × 89,862.56
  4. Step 4: Simplify right side
    157,829x = 19,571,628,835.96
  5. Step 5: Solve for x
    x = 19,571,628,835.96/157,829
  6. Step 6: Final answer
    x = 124,005.28

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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.