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Finding the Fourth Proportional to 117,510, 162,163.80 and 64,518

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Solution

The fourth proportional to 117,510, 162,163.80 and 64,518 is: 89,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,510 : 162,163.80 = 64,518 : x
  2. Step 2: Convert to fraction form
    117,510/162,163.80 = 64,518/x
  3. Step 3: Cross multiply
    117,510x = 162,163.80 × 64,518
  4. Step 4: Simplify right side
    117,510x = 10,462,484,048.40
  5. Step 5: Solve for x
    x = 10,462,484,048.40/117,510
  6. Step 6: Final answer
    x = 89,034.84

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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.