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Finding the Fourth Proportional to 219,522, 302,943.60 and 118,920

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Solution

The fourth proportional to 219,522, 302,943.60 and 118,920 is: 164,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,522 : 302,943.60 = 118,920 : x
  2. Step 2: Convert to fraction form
    219,522/302,943.60 = 118,920/x
  3. Step 3: Cross multiply
    219,522x = 302,943.60 × 118,920
  4. Step 4: Simplify right side
    219,522x = 36,026,052,912
  5. Step 5: Solve for x
    x = 36,026,052,912/219,522
  6. Step 6: Final answer
    x = 164,111.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.