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Finding the Fourth Proportional to 117,716, 162,448.08 and 64,724

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Solution

The fourth proportional to 117,716, 162,448.08 and 64,724 is: 89,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,716 : 162,448.08 = 64,724 : x
  2. Step 2: Convert to fraction form
    117,716/162,448.08 = 64,724/x
  3. Step 3: Cross multiply
    117,716x = 162,448.08 × 64,724
  4. Step 4: Simplify right side
    117,716x = 10,514,289,529.92
  5. Step 5: Solve for x
    x = 10,514,289,529.92/117,716
  6. Step 6: Final answer
    x = 89,319.12

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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.