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Finding the Fourth Proportional to 185,368.34, 278,074.37 and 138,916.46

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Solution

The fourth proportional to 185,368.34, 278,074.37 and 138,916.46 is: 208,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,368.34 : 278,074.37 = 138,916.46 : x
  2. Step 2: Convert to fraction form
    185,368.34/278,074.37 = 138,916.46/x
  3. Step 3: Cross multiply
    185,368.34x = 278,074.37 × 138,916.46
  4. Step 4: Simplify right side
    185,368.34x = 38,629,106,054.05
  5. Step 5: Solve for x
    x = 38,629,106,054.05/185,368.34
  6. Step 6: Final answer
    x = 208,391.07

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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.