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Finding the Fourth Proportional to 109,054, 163,478.94 and 99,314.56

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Solution

The fourth proportional to 109,054, 163,478.94 and 99,314.56 is: 148,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,054 : 163,478.94 = 99,314.56 : x
  2. Step 2: Convert to fraction form
    109,054/163,478.94 = 99,314.56/x
  3. Step 3: Cross multiply
    109,054x = 163,478.94 × 99,314.56
  4. Step 4: Simplify right side
    109,054x = 16,235,838,995.37
  5. Step 5: Solve for x
    x = 16,235,838,995.37/109,054
  6. Step 6: Final answer
    x = 148,878.89

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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.