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Finding the Fourth Proportional to 78,368.34, 117,522.42 and 38,362.64

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Solution

The fourth proportional to 78,368.34, 117,522.42 and 38,362.64 is: 57,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.34 : 117,522.42 = 38,362.64 : x
  2. Step 2: Convert to fraction form
    78,368.34/117,522.42 = 38,362.64/x
  3. Step 3: Cross multiply
    78,368.34x = 117,522.42 × 38,362.64
  4. Step 4: Simplify right side
    78,368.34x = 4,508,470,290.39
  5. Step 5: Solve for x
    x = 4,508,470,290.39/78,368.34
  6. Step 6: Final answer
    x = 57,529.23

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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.