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Finding the Fourth Proportional to 216,813.24, 299,202.64 and 121,320

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Solution

The fourth proportional to 216,813.24, 299,202.64 and 121,320 is: 167,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,813.24 : 299,202.64 = 121,320 : x
  2. Step 2: Convert to fraction form
    216,813.24/299,202.64 = 121,320/x
  3. Step 3: Cross multiply
    216,813.24x = 299,202.64 × 121,320
  4. Step 4: Simplify right side
    216,813.24x = 36,299,263,981.50
  5. Step 5: Solve for x
    x = 36,299,263,981.50/216,813.24
  6. Step 6: Final answer
    x = 167,421.80

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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.