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Finding the Fourth Proportional to 158,085.78, 236,924.88 and 137,740.07

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Solution

The fourth proportional to 158,085.78, 236,924.88 and 137,740.07 is: 206,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,085.78 : 236,924.88 = 137,740.07 : x
  2. Step 2: Convert to fraction form
    158,085.78/236,924.88 = 137,740.07/x
  3. Step 3: Cross multiply
    158,085.78x = 236,924.88 × 137,740.07
  4. Step 4: Simplify right side
    158,085.78x = 32,634,048,371.32
  5. Step 5: Solve for x
    x = 32,634,048,371.32/158,085.78
  6. Step 6: Final answer
    x = 206,432.54

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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.