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Finding the Fourth Proportional to 109,363.77, 164,045.66 and 30,478.68

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Solution

The fourth proportional to 109,363.77, 164,045.66 and 30,478.68 is: 45,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,363.77 : 164,045.66 = 30,478.68 : x
  2. Step 2: Convert to fraction form
    109,363.77/164,045.66 = 30,478.68/x
  3. Step 3: Cross multiply
    109,363.77x = 164,045.66 × 30,478.68
  4. Step 4: Simplify right side
    109,363.77x = 4,999,895,024.14
  5. Step 5: Solve for x
    x = 4,999,895,024.14/109,363.77
  6. Step 6: Final answer
    x = 45,718.02

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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.