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Finding the Fourth Proportional to 78,292.62, 117,438.62 and 28,361.04

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Solution

The fourth proportional to 78,292.62, 117,438.62 and 28,361.04 is: 42,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,292.62 : 117,438.62 = 28,361.04 : x
  2. Step 2: Convert to fraction form
    78,292.62/117,438.62 = 28,361.04/x
  3. Step 3: Cross multiply
    78,292.62x = 117,438.62 × 28,361.04
  4. Step 4: Simplify right side
    78,292.62x = 3,330,681,399.36
  5. Step 5: Solve for x
    x = 3,330,681,399.36/78,292.62
  6. Step 6: Final answer
    x = 42,541.45

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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.