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Finding the Fourth Proportional to 102,458.97, 153,740.73 and 69,109.10

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Solution

The fourth proportional to 102,458.97, 153,740.73 and 69,109.10 is: 103,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,458.97 : 153,740.73 = 69,109.10 : x
  2. Step 2: Convert to fraction form
    102,458.97/153,740.73 = 69,109.10/x
  3. Step 3: Cross multiply
    102,458.97x = 153,740.73 × 69,109.10
  4. Step 4: Simplify right side
    102,458.97x = 10,624,882,714.94
  5. Step 5: Solve for x
    x = 10,624,882,714.94/102,458.97
  6. Step 6: Final answer
    x = 103,698.90

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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.