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Finding the Fourth Proportional to 117,760, 162,511.36 and 64,768

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Solution

The fourth proportional to 117,760, 162,511.36 and 64,768 is: 89,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,760 : 162,511.36 = 64,768 : x
  2. Step 2: Convert to fraction form
    117,760/162,511.36 = 64,768/x
  3. Step 3: Cross multiply
    117,760x = 162,511.36 × 64,768
  4. Step 4: Simplify right side
    117,760x = 10,525,535,764.48
  5. Step 5: Solve for x
    x = 10,525,535,764.48/117,760
  6. Step 6: Final answer
    x = 89,381.25

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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.