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Finding the Fourth Proportional to 151,487.77, 209,051.94 and 82,577.07

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Solution

The fourth proportional to 151,487.77, 209,051.94 and 82,577.07 is: 113,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,487.77 : 209,051.94 = 82,577.07 : x
  2. Step 2: Convert to fraction form
    151,487.77/209,051.94 = 82,577.07/x
  3. Step 3: Cross multiply
    151,487.77x = 209,051.94 × 82,577.07
  4. Step 4: Simplify right side
    151,487.77x = 17,262,896,683.02
  5. Step 5: Solve for x
    x = 17,262,896,683.02/151,487.77
  6. Step 6: Final answer
    x = 113,955.71

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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.