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Finding the Fourth Proportional to 103,090.78, 154,541.02 and 71,515.77

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Solution

The fourth proportional to 103,090.78, 154,541.02 and 71,515.77 is: 107,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,090.78 : 154,541.02 = 71,515.77 : x
  2. Step 2: Convert to fraction form
    103,090.78/154,541.02 = 71,515.77/x
  3. Step 3: Cross multiply
    103,090.78x = 154,541.02 × 71,515.77
  4. Step 4: Simplify right side
    103,090.78x = 11,052,120,041.89
  5. Step 5: Solve for x
    x = 11,052,120,041.89/103,090.78
  6. Step 6: Final answer
    x = 107,207.65

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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.