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Finding the Fourth Proportional to 152,137.64, 209,879.25 and 98,440.01

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Solution

The fourth proportional to 152,137.64, 209,879.25 and 98,440.01 is: 135,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,137.64 : 209,879.25 = 98,440.01 : x
  2. Step 2: Convert to fraction form
    152,137.64/209,879.25 = 98,440.01/x
  3. Step 3: Cross multiply
    152,137.64x = 209,879.25 × 98,440.01
  4. Step 4: Simplify right side
    152,137.64x = 20,660,515,391.02
  5. Step 5: Solve for x
    x = 20,660,515,391.02/152,137.64
  6. Step 6: Final answer
    x = 135,801.47

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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.