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Finding the Fourth Proportional to 211,428, 291,770.64 and 122,055.84

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Solution

The fourth proportional to 211,428, 291,770.64 and 122,055.84 is: 168,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,428 : 291,770.64 = 122,055.84 : x
  2. Step 2: Convert to fraction form
    211,428/291,770.64 = 122,055.84/x
  3. Step 3: Cross multiply
    211,428x = 291,770.64 × 122,055.84
  4. Step 4: Simplify right side
    211,428x = 35,612,310,552.54
  5. Step 5: Solve for x
    x = 35,612,310,552.54/211,428
  6. Step 6: Final answer
    x = 168,437.06

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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.