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Finding the Fourth Proportional to 213,438.66, 320,146.44 and 108,254.89

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Solution

The fourth proportional to 213,438.66, 320,146.44 and 108,254.89 is: 162,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,438.66 : 320,146.44 = 108,254.89 : x
  2. Step 2: Convert to fraction form
    213,438.66/320,146.44 = 108,254.89/x
  3. Step 3: Cross multiply
    213,438.66x = 320,146.44 × 108,254.89
  4. Step 4: Simplify right side
    213,438.66x = 34,657,417,646.09
  5. Step 5: Solve for x
    x = 34,657,417,646.09/213,438.66
  6. Step 6: Final answer
    x = 162,376.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.