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Finding the Fourth Proportional to 125,460, 188,219.16 and 42,354

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Solution

The fourth proportional to 125,460, 188,219.16 and 42,354 is: 63,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,460 : 188,219.16 = 42,354 : x
  2. Step 2: Convert to fraction form
    125,460/188,219.16 = 42,354/x
  3. Step 3: Cross multiply
    125,460x = 188,219.16 × 42,354
  4. Step 4: Simplify right side
    125,460x = 7,971,834,302.64
  5. Step 5: Solve for x
    x = 7,971,834,302.64/125,460
  6. Step 6: Final answer
    x = 63,540.84

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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.