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Finding the Fourth Proportional to 114,689.60, 171,688.80 and 100,865.60

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Solution

The fourth proportional to 114,689.60, 171,688.80 and 100,865.60 is: 150,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,689.60 : 171,688.80 = 100,865.60 : x
  2. Step 2: Convert to fraction form
    114,689.60/171,688.80 = 100,865.60/x
  3. Step 3: Cross multiply
    114,689.60x = 171,688.80 × 100,865.60
  4. Step 4: Simplify right side
    114,689.60x = 17,317,493,825.28
  5. Step 5: Solve for x
    x = 17,317,493,825.28/114,689.60
  6. Step 6: Final answer
    x = 150,994.46

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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.