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Finding the Fourth Proportional to 211,752, 317,628 and 64,008

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Solution

The fourth proportional to 211,752, 317,628 and 64,008 is: 96,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,752 : 317,628 = 64,008 : x
  2. Step 2: Convert to fraction form
    211,752/317,628 = 64,008/x
  3. Step 3: Cross multiply
    211,752x = 317,628 × 64,008
  4. Step 4: Simplify right side
    211,752x = 20,330,733,024
  5. Step 5: Solve for x
    x = 20,330,733,024/211,752
  6. Step 6: Final answer
    x = 96,012

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.