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Finding the Fourth Proportional to 210,441.10, 315,661.62 and 77,263.72

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Solution

The fourth proportional to 210,441.10, 315,661.62 and 77,263.72 is: 115,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,441.10 : 315,661.62 = 77,263.72 : x
  2. Step 2: Convert to fraction form
    210,441.10/315,661.62 = 77,263.72/x
  3. Step 3: Cross multiply
    210,441.10x = 315,661.62 × 77,263.72
  4. Step 4: Simplify right side
    210,441.10x = 24,389,191,022.43
  5. Step 5: Solve for x
    x = 24,389,191,022.43/210,441.10
  6. Step 6: Final answer
    x = 115,895.57

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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.