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Finding the Fourth Proportional to 154,806.72, 213,506.40 and 103,827.84

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Solution

The fourth proportional to 154,806.72, 213,506.40 and 103,827.84 is: 143,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,806.72 : 213,506.40 = 103,827.84 : x
  2. Step 2: Convert to fraction form
    154,806.72/213,506.40 = 103,827.84/x
  3. Step 3: Cross multiply
    154,806.72x = 213,506.40 × 103,827.84
  4. Step 4: Simplify right side
    154,806.72x = 22,167,908,338.18
  5. Step 5: Solve for x
    x = 22,167,908,338.18/154,806.72
  6. Step 6: Final answer
    x = 143,197.33

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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.