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Finding the Fourth Proportional to 119,638.32, 164,966.04 and 76,561.44

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Solution

The fourth proportional to 119,638.32, 164,966.04 and 76,561.44 is: 105,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,638.32 : 164,966.04 = 76,561.44 : x
  2. Step 2: Convert to fraction form
    119,638.32/164,966.04 = 76,561.44/x
  3. Step 3: Cross multiply
    119,638.32x = 164,966.04 × 76,561.44
  4. Step 4: Simplify right side
    119,638.32x = 12,630,037,573.50
  5. Step 5: Solve for x
    x = 12,630,037,573.50/119,638.32
  6. Step 6: Final answer
    x = 105,568.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.