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Finding the Fourth Proportional to 342,100, 472,061.88 and 189,113.58

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Solution

The fourth proportional to 342,100, 472,061.88 and 189,113.58 is: 260,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,100 : 472,061.88 = 189,113.58 : x
  2. Step 2: Convert to fraction form
    342,100/472,061.88 = 189,113.58/x
  3. Step 3: Cross multiply
    342,100x = 472,061.88 × 189,113.58
  4. Step 4: Simplify right side
    342,100x = 89,273,312,108.33
  5. Step 5: Solve for x
    x = 89,273,312,108.33/342,100
  6. Step 6: Final answer
    x = 260,956.77

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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.