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Finding the Fourth Proportional to 112,130, 168,199.36 and 38,258

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Solution

The fourth proportional to 112,130, 168,199.36 and 38,258 is: 57,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,130 : 168,199.36 = 38,258 : x
  2. Step 2: Convert to fraction form
    112,130/168,199.36 = 38,258/x
  3. Step 3: Cross multiply
    112,130x = 168,199.36 × 38,258
  4. Step 4: Simplify right side
    112,130x = 6,434,971,114.88
  5. Step 5: Solve for x
    x = 6,434,971,114.88/112,130
  6. Step 6: Final answer
    x = 57,388.49

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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.