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Finding the Fourth Proportional to 117,641, 162,344.58 and 64,649

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Solution

The fourth proportional to 117,641, 162,344.58 and 64,649 is: 89,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,641 : 162,344.58 = 64,649 : x
  2. Step 2: Convert to fraction form
    117,641/162,344.58 = 64,649/x
  3. Step 3: Cross multiply
    117,641x = 162,344.58 × 64,649
  4. Step 4: Simplify right side
    117,641x = 10,495,414,752.42
  5. Step 5: Solve for x
    x = 10,495,414,752.42/117,641
  6. Step 6: Final answer
    x = 89,215.62

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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.