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Finding the Fourth Proportional to 158,635.13, 218,916.47 and 87,015.31

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Solution

The fourth proportional to 158,635.13, 218,916.47 and 87,015.31 is: 120,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,635.13 : 218,916.47 = 87,015.31 : x
  2. Step 2: Convert to fraction form
    158,635.13/218,916.47 = 87,015.31/x
  3. Step 3: Cross multiply
    158,635.13x = 218,916.47 × 87,015.31
  4. Step 4: Simplify right side
    158,635.13x = 19,049,085,402.81
  5. Step 5: Solve for x
    x = 19,049,085,402.81/158,635.13
  6. Step 6: Final answer
    x = 120,081.13

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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.