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Finding the Fourth Proportional to 140,424, 210,644.64 and 41,928

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Solution

The fourth proportional to 140,424, 210,644.64 and 41,928 is: 62,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,424 : 210,644.64 = 41,928 : x
  2. Step 2: Convert to fraction form
    140,424/210,644.64 = 41,928/x
  3. Step 3: Cross multiply
    140,424x = 210,644.64 × 41,928
  4. Step 4: Simplify right side
    140,424x = 8,831,908,465.92
  5. Step 5: Solve for x
    x = 8,831,908,465.92/140,424
  6. Step 6: Final answer
    x = 62,894.58

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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.