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Finding the Fourth Proportional to 221,964, 332,955.68 and 64,208.40

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Solution

The fourth proportional to 221,964, 332,955.68 and 64,208.40 is: 96,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,964 : 332,955.68 = 64,208.40 : x
  2. Step 2: Convert to fraction form
    221,964/332,955.68 = 64,208.40/x
  3. Step 3: Cross multiply
    221,964x = 332,955.68 × 64,208.40
  4. Step 4: Simplify right side
    221,964x = 21,378,551,483.71
  5. Step 5: Solve for x
    x = 21,378,551,483.71/221,964
  6. Step 6: Final answer
    x = 96,315.40

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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.