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Finding the Fourth Proportional to 210,334.95, 315,165.47 and 110,491.11

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Solution

The fourth proportional to 210,334.95, 315,165.47 and 110,491.11 is: 165,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,334.95 : 315,165.47 = 110,491.11 : x
  2. Step 2: Convert to fraction form
    210,334.95/315,165.47 = 110,491.11/x
  3. Step 3: Cross multiply
    210,334.95x = 315,165.47 × 110,491.11
  4. Step 4: Simplify right side
    210,334.95x = 34,822,982,061.52
  5. Step 5: Solve for x
    x = 34,822,982,061.52/210,334.95
  6. Step 6: Final answer
    x = 165,559.66

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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.