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Finding the Fourth Proportional to 216,902.61, 299,325.54 and 121,409.34

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Solution

The fourth proportional to 216,902.61, 299,325.54 and 121,409.34 is: 167,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,902.61 : 299,325.54 = 121,409.34 : x
  2. Step 2: Convert to fraction form
    216,902.61/299,325.54 = 121,409.34/x
  3. Step 3: Cross multiply
    216,902.61x = 299,325.54 × 121,409.34
  4. Step 4: Simplify right side
    216,902.61x = 36,340,916,256.54
  5. Step 5: Solve for x
    x = 36,340,916,256.54/216,902.61
  6. Step 6: Final answer
    x = 167,544.85

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1.5x scale

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.