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Finding the Fourth Proportional to 101,852.36, 152,785.80 and 42,679.40

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Solution

The fourth proportional to 101,852.36, 152,785.80 and 42,679.40 is: 64,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,852.36 : 152,785.80 = 42,679.40 : x
  2. Step 2: Convert to fraction form
    101,852.36/152,785.80 = 42,679.40/x
  3. Step 3: Cross multiply
    101,852.36x = 152,785.80 × 42,679.40
  4. Step 4: Simplify right side
    101,852.36x = 6,520,806,272.52
  5. Step 5: Solve for x
    x = 6,520,806,272.52/101,852.36
  6. Step 6: Final answer
    x = 64,022.14

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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.