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Finding the Fourth Proportional to 207,381.74, 286,039.32 and 138,436.49

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Solution

The fourth proportional to 207,381.74, 286,039.32 and 138,436.49 is: 190,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,381.74 : 286,039.32 = 138,436.49 : x
  2. Step 2: Convert to fraction form
    207,381.74/286,039.32 = 138,436.49/x
  3. Step 3: Cross multiply
    207,381.74x = 286,039.32 × 138,436.49
  4. Step 4: Simplify right side
    207,381.74x = 39,598,280,826.81
  5. Step 5: Solve for x
    x = 39,598,280,826.81/207,381.74
  6. Step 6: Final answer
    x = 190,943.91

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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.