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Finding the Fourth Proportional to 209,522.64, 313,917.24 and 142,746

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Solution

The fourth proportional to 209,522.64, 313,917.24 and 142,746 is: 213,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,522.64 : 313,917.24 = 142,746 : x
  2. Step 2: Convert to fraction form
    209,522.64/313,917.24 = 142,746/x
  3. Step 3: Cross multiply
    209,522.64x = 313,917.24 × 142,746
  4. Step 4: Simplify right side
    209,522.64x = 44,810,430,341.04
  5. Step 5: Solve for x
    x = 44,810,430,341.04/209,522.64
  6. Step 6: Final answer
    x = 213,869.16

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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.