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Finding the Fourth Proportional to 114,390, 157,858.20 and 69,678

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Solution

The fourth proportional to 114,390, 157,858.20 and 69,678 is: 96,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,390 : 157,858.20 = 69,678 : x
  2. Step 2: Convert to fraction form
    114,390/157,858.20 = 69,678/x
  3. Step 3: Cross multiply
    114,390x = 157,858.20 × 69,678
  4. Step 4: Simplify right side
    114,390x = 10,999,243,659.60
  5. Step 5: Solve for x
    x = 10,999,243,659.60/114,390
  6. Step 6: Final answer
    x = 96,155.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.