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Finding the Fourth Proportional to 158,998, 219,416.52 and 91,014.60

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Solution

The fourth proportional to 158,998, 219,416.52 and 91,014.60 is: 125,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,998 : 219,416.52 = 91,014.60 : x
  2. Step 2: Convert to fraction form
    158,998/219,416.52 = 91,014.60/x
  3. Step 3: Cross multiply
    158,998x = 219,416.52 × 91,014.60
  4. Step 4: Simplify right side
    158,998x = 19,970,106,801.19
  5. Step 5: Solve for x
    x = 19,970,106,801.19/158,998
  6. Step 6: Final answer
    x = 125,599.74

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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.