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Finding the Fourth Proportional to 102,720.80, 153,804.31 and 67,093.89

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Solution

The fourth proportional to 102,720.80, 153,804.31 and 67,093.89 is: 100,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,720.80 : 153,804.31 = 67,093.89 : x
  2. Step 2: Convert to fraction form
    102,720.80/153,804.31 = 67,093.89/x
  3. Step 3: Cross multiply
    102,720.80x = 153,804.31 × 67,093.89
  4. Step 4: Simplify right side
    102,720.80x = 10,319,329,288.93
  5. Step 5: Solve for x
    x = 10,319,329,288.93/102,720.80
  6. Step 6: Final answer
    x = 100,459.98

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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.