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Finding the Fourth Proportional to 164,863.60, 246,639.30 and 142,920.70

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Solution

The fourth proportional to 164,863.60, 246,639.30 and 142,920.70 is: 213,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,863.60 : 246,639.30 = 142,920.70 : x
  2. Step 2: Convert to fraction form
    164,863.60/246,639.30 = 142,920.70/x
  3. Step 3: Cross multiply
    164,863.60x = 246,639.30 × 142,920.70
  4. Step 4: Simplify right side
    164,863.60x = 35,249,861,403.51
  5. Step 5: Solve for x
    x = 35,249,861,403.51/164,863.60
  6. Step 6: Final answer
    x = 213,812.28

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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.