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Finding the Fourth Proportional to 125,521.20, 188,281.80 and 42,415.20

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Solution

The fourth proportional to 125,521.20, 188,281.80 and 42,415.20 is: 63,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,521.20 : 188,281.80 = 42,415.20 : x
  2. Step 2: Convert to fraction form
    125,521.20/188,281.80 = 42,415.20/x
  3. Step 3: Cross multiply
    125,521.20x = 188,281.80 × 42,415.20
  4. Step 4: Simplify right side
    125,521.20x = 7,986,010,203.36
  5. Step 5: Solve for x
    x = 7,986,010,203.36/125,521.20
  6. Step 6: Final answer
    x = 63,622.80

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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.