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Finding the Fourth Proportional to 157,730.52, 217,671.41 and 86,113.56

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Solution

The fourth proportional to 157,730.52, 217,671.41 and 86,113.56 is: 118,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,730.52 : 217,671.41 = 86,113.56 : x
  2. Step 2: Convert to fraction form
    157,730.52/217,671.41 = 86,113.56/x
  3. Step 3: Cross multiply
    157,730.52x = 217,671.41 × 86,113.56
  4. Step 4: Simplify right side
    157,730.52x = 18,744,459,594.75
  5. Step 5: Solve for x
    x = 18,744,459,594.75/157,730.52
  6. Step 6: Final answer
    x = 118,838.51

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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.