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Finding the Fourth Proportional to 211,969.50, 317,955 and 64,225.50

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Solution

The fourth proportional to 211,969.50, 317,955 and 64,225.50 is: 96,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,969.50 : 317,955 = 64,225.50 : x
  2. Step 2: Convert to fraction form
    211,969.50/317,955 = 64,225.50/x
  3. Step 3: Cross multiply
    211,969.50x = 317,955 × 64,225.50
  4. Step 4: Simplify right side
    211,969.50x = 20,420,818,852.50
  5. Step 5: Solve for x
    x = 20,420,818,852.50/211,969.50
  6. Step 6: Final answer
    x = 96,338.48

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Why These Related Problems?

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