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Finding the Fourth Proportional to 216,706.64, 299,055.65 and 119,917.51

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Solution

The fourth proportional to 216,706.64, 299,055.65 and 119,917.51 is: 165,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,706.64 : 299,055.65 = 119,917.51 : x
  2. Step 2: Convert to fraction form
    216,706.64/299,055.65 = 119,917.51/x
  3. Step 3: Cross multiply
    216,706.64x = 299,055.65 × 119,917.51
  4. Step 4: Simplify right side
    216,706.64x = 35,862,009,234.39
  5. Step 5: Solve for x
    x = 35,862,009,234.39/216,706.64
  6. Step 6: Final answer
    x = 165,486.43

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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.