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Finding the Fourth Proportional to 125,880, 188,820 and 38,328

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Solution

The fourth proportional to 125,880, 188,820 and 38,328 is: 57,492

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,880 : 188,820 = 38,328 : x
  2. Step 2: Convert to fraction form
    125,880/188,820 = 38,328/x
  3. Step 3: Cross multiply
    125,880x = 188,820 × 38,328
  4. Step 4: Simplify right side
    125,880x = 7,237,092,960
  5. Step 5: Solve for x
    x = 7,237,092,960/125,880
  6. Step 6: Final answer
    x = 57,492

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.