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Finding the Fourth Proportional to 279,920.16, 419,880.26 and 92,931.66

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Solution

The fourth proportional to 279,920.16, 419,880.26 and 92,931.66 is: 139,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,920.16 : 419,880.26 = 92,931.66 : x
  2. Step 2: Convert to fraction form
    279,920.16/419,880.26 = 92,931.66/x
  3. Step 3: Cross multiply
    279,920.16x = 419,880.26 × 92,931.66
  4. Step 4: Simplify right side
    279,920.16x = 39,020,169,098.37
  5. Step 5: Solve for x
    x = 39,020,169,098.37/279,920.16
  6. Step 6: Final answer
    x = 139,397.49

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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.