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Finding the Fourth Proportional to 210,440.65, 315,660.98 and 77,263.29

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Solution

The fourth proportional to 210,440.65, 315,660.98 and 77,263.29 is: 115,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,440.65 : 315,660.98 = 77,263.29 : x
  2. Step 2: Convert to fraction form
    210,440.65/315,660.98 = 77,263.29/x
  3. Step 3: Cross multiply
    210,440.65x = 315,660.98 × 77,263.29
  4. Step 4: Simplify right side
    210,440.65x = 24,389,004,414.25
  5. Step 5: Solve for x
    x = 24,389,004,414.25/210,440.65
  6. Step 6: Final answer
    x = 115,894.93

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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.