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Finding the Fourth Proportional to 172,804.64, 238,329.44 and 145,102.40

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Solution

The fourth proportional to 172,804.64, 238,329.44 and 145,102.40 is: 200,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,804.64 : 238,329.44 = 145,102.40 : x
  2. Step 2: Convert to fraction form
    172,804.64/238,329.44 = 145,102.40/x
  3. Step 3: Cross multiply
    172,804.64x = 238,329.44 × 145,102.40
  4. Step 4: Simplify right side
    172,804.64x = 34,582,173,734.66
  5. Step 5: Solve for x
    x = 34,582,173,734.66/172,804.64
  6. Step 6: Final answer
    x = 200,122.95

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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.