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Finding the Fourth Proportional to 92,907, 128,214 and 50,465.52

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Solution

The fourth proportional to 92,907, 128,214 and 50,465.52 is: 69,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,907 : 128,214 = 50,465.52 : x
  2. Step 2: Convert to fraction form
    92,907/128,214 = 50,465.52/x
  3. Step 3: Cross multiply
    92,907x = 128,214 × 50,465.52
  4. Step 4: Simplify right side
    92,907x = 6,470,386,181.28
  5. Step 5: Solve for x
    x = 6,470,386,181.28/92,907
  6. Step 6: Final answer
    x = 69,643.69

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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.