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Finding the Fourth Proportional to 219,111, 302,373.21 and 118,509

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Solution

The fourth proportional to 219,111, 302,373.21 and 118,509 is: 163,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,111 : 302,373.21 = 118,509 : x
  2. Step 2: Convert to fraction form
    219,111/302,373.21 = 118,509/x
  3. Step 3: Cross multiply
    219,111x = 302,373.21 × 118,509
  4. Step 4: Simplify right side
    219,111x = 35,833,946,743.89
  5. Step 5: Solve for x
    x = 35,833,946,743.89/219,111
  6. Step 6: Final answer
    x = 163,542.44

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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.