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Finding the Fourth Proportional to 109,215, 163,841.58 and 53,093.76

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Solution

The fourth proportional to 109,215, 163,841.58 and 53,093.76 is: 79,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,215 : 163,841.58 = 53,093.76 : x
  2. Step 2: Convert to fraction form
    109,215/163,841.58 = 53,093.76/x
  3. Step 3: Cross multiply
    109,215x = 163,841.58 × 53,093.76
  4. Step 4: Simplify right side
    109,215x = 8,698,965,526.54
  5. Step 5: Solve for x
    x = 8,698,965,526.54/109,215
  6. Step 6: Final answer
    x = 79,649.92

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1.5x scale

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.