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Finding the Fourth Proportional to 157,740.62, 217,682.55 and 101,152.22

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Solution

The fourth proportional to 157,740.62, 217,682.55 and 101,152.22 is: 139,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,740.62 : 217,682.55 = 101,152.22 : x
  2. Step 2: Convert to fraction form
    157,740.62/217,682.55 = 101,152.22/x
  3. Step 3: Cross multiply
    157,740.62x = 217,682.55 × 101,152.22
  4. Step 4: Simplify right side
    157,740.62x = 22,019,073,187.76
  5. Step 5: Solve for x
    x = 22,019,073,187.76/157,740.62
  6. Step 6: Final answer
    x = 139,590.38

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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.