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Finding the Fourth Proportional to 209,263.64, 313,870.34 and 76,058.87

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Solution

The fourth proportional to 209,263.64, 313,870.34 and 76,058.87 is: 114,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,263.64 : 313,870.34 = 76,058.87 : x
  2. Step 2: Convert to fraction form
    209,263.64/313,870.34 = 76,058.87/x
  3. Step 3: Cross multiply
    209,263.64x = 313,870.34 × 76,058.87
  4. Step 4: Simplify right side
    209,263.64x = 23,872,622,007.71
  5. Step 5: Solve for x
    x = 23,872,622,007.71/209,263.64
  6. Step 6: Final answer
    x = 114,079.17

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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.