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Finding the Fourth Proportional to 105,120.40, 157,421.40 and 69,869.20

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Solution

The fourth proportional to 105,120.40, 157,421.40 and 69,869.20 is: 104,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,120.40 : 157,421.40 = 69,869.20 : x
  2. Step 2: Convert to fraction form
    105,120.40/157,421.40 = 69,869.20/x
  3. Step 3: Cross multiply
    105,120.40x = 157,421.40 × 69,869.20
  4. Step 4: Simplify right side
    105,120.40x = 10,998,907,280.88
  5. Step 5: Solve for x
    x = 10,998,907,280.88/105,120.40
  6. Step 6: Final answer
    x = 104,631.52

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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.