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Finding the Fourth Proportional to 109,368, 164,081.16 and 53,964

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Solution

The fourth proportional to 109,368, 164,081.16 and 53,964 is: 80,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,368 : 164,081.16 = 53,964 : x
  2. Step 2: Convert to fraction form
    109,368/164,081.16 = 53,964/x
  3. Step 3: Cross multiply
    109,368x = 164,081.16 × 53,964
  4. Step 4: Simplify right side
    109,368x = 8,854,475,718.24
  5. Step 5: Solve for x
    x = 8,854,475,718.24/109,368
  6. Step 6: Final answer
    x = 80,960.39

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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.