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Finding the Fourth Proportional to 109,653.60, 164,518.80 and 47,368.80

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Solution

The fourth proportional to 109,653.60, 164,518.80 and 47,368.80 is: 71,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,653.60 : 164,518.80 = 47,368.80 : x
  2. Step 2: Convert to fraction form
    109,653.60/164,518.80 = 47,368.80/x
  3. Step 3: Cross multiply
    109,653.60x = 164,518.80 × 47,368.80
  4. Step 4: Simplify right side
    109,653.60x = 7,793,058,133.44
  5. Step 5: Solve for x
    x = 7,793,058,133.44/109,653.60
  6. Step 6: Final answer
    x = 71,069.79

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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.