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Finding the Fourth Proportional to 117,767, 162,521.02 and 64,775

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Solution

The fourth proportional to 117,767, 162,521.02 and 64,775 is: 89,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,767 : 162,521.02 = 64,775 : x
  2. Step 2: Convert to fraction form
    117,767/162,521.02 = 64,775/x
  3. Step 3: Cross multiply
    117,767x = 162,521.02 × 64,775
  4. Step 4: Simplify right side
    117,767x = 10,527,299,070.50
  5. Step 5: Solve for x
    x = 10,527,299,070.50/117,767
  6. Step 6: Final answer
    x = 89,390.91

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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.