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Finding the Fourth Proportional to 242,657.91, 334,868.22 and 135,225.54

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Solution

The fourth proportional to 242,657.91, 334,868.22 and 135,225.54 is: 186,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,657.91 : 334,868.22 = 135,225.54 : x
  2. Step 2: Convert to fraction form
    242,657.91/334,868.22 = 135,225.54/x
  3. Step 3: Cross multiply
    242,657.91x = 334,868.22 × 135,225.54
  4. Step 4: Simplify right side
    242,657.91x = 45,282,735,878.34
  5. Step 5: Solve for x
    x = 45,282,735,878.34/242,657.91
  6. Step 6: Final answer
    x = 186,611.41

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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.