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Finding the Fourth Proportional to 216,902.45, 299,336.84 and 136,300.16

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Solution

The fourth proportional to 216,902.45, 299,336.84 and 136,300.16 is: 188,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,902.45 : 299,336.84 = 136,300.16 : x
  2. Step 2: Convert to fraction form
    216,902.45/299,336.84 = 136,300.16/x
  3. Step 3: Cross multiply
    216,902.45x = 299,336.84 × 136,300.16
  4. Step 4: Simplify right side
    216,902.45x = 40,799,657,007.71
  5. Step 5: Solve for x
    x = 40,799,657,007.71/216,902.45
  6. Step 6: Final answer
    x = 188,101.42

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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.