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Finding the Fourth Proportional to 151,493.41, 209,051.51 and 83,506.87

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Solution

The fourth proportional to 151,493.41, 209,051.51 and 83,506.87 is: 115,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,493.41 : 209,051.51 = 83,506.87 : x
  2. Step 2: Convert to fraction form
    151,493.41/209,051.51 = 83,506.87/x
  3. Step 3: Cross multiply
    151,493.41x = 209,051.51 × 83,506.87
  4. Step 4: Simplify right side
    151,493.41x = 17,457,236,955.01
  5. Step 5: Solve for x
    x = 17,457,236,955.01/151,493.41
  6. Step 6: Final answer
    x = 115,234.30

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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.