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Finding the Fourth Proportional to 192,258.74, 287,820.15 and 142,005.14

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Solution

The fourth proportional to 192,258.74, 287,820.15 and 142,005.14 is: 212,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,258.74 : 287,820.15 = 142,005.14 : x
  2. Step 2: Convert to fraction form
    192,258.74/287,820.15 = 142,005.14/x
  3. Step 3: Cross multiply
    192,258.74x = 287,820.15 × 142,005.14
  4. Step 4: Simplify right side
    192,258.74x = 40,871,940,695.57
  5. Step 5: Solve for x
    x = 40,871,940,695.57/192,258.74
  6. Step 6: Final answer
    x = 212,588.21

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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.