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Finding the Fourth Proportional to 151,652.81, 209,280.89 and 84,584.81

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Solution

The fourth proportional to 151,652.81, 209,280.89 and 84,584.81 is: 116,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,652.81 : 209,280.89 = 84,584.81 : x
  2. Step 2: Convert to fraction form
    151,652.81/209,280.89 = 84,584.81/x
  3. Step 3: Cross multiply
    151,652.81x = 209,280.89 × 84,584.81
  4. Step 4: Simplify right side
    151,652.81x = 17,701,985,051.95
  5. Step 5: Solve for x
    x = 17,701,985,051.95/151,652.81
  6. Step 6: Final answer
    x = 116,727.05

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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.