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Finding the Fourth Proportional to 100,868.42, 151,258.86 and 34,290.68

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Solution

The fourth proportional to 100,868.42, 151,258.86 and 34,290.68 is: 51,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,868.42 : 151,258.86 = 34,290.68 : x
  2. Step 2: Convert to fraction form
    100,868.42/151,258.86 = 34,290.68/x
  3. Step 3: Cross multiply
    100,868.42x = 151,258.86 × 34,290.68
  4. Step 4: Simplify right side
    100,868.42x = 5,186,768,409.13
  5. Step 5: Solve for x
    x = 5,186,768,409.13/100,868.42
  6. Step 6: Final answer
    x = 51,421.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.