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Finding the Fourth Proportional to 219,145, 302,420.38 and 118,543

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Solution

The fourth proportional to 219,145, 302,420.38 and 118,543 is: 163,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,145 : 302,420.38 = 118,543 : x
  2. Step 2: Convert to fraction form
    219,145/302,420.38 = 118,543/x
  3. Step 3: Cross multiply
    219,145x = 302,420.38 × 118,543
  4. Step 4: Simplify right side
    219,145x = 35,849,819,106.34
  5. Step 5: Solve for x
    x = 35,849,819,106.34/219,145
  6. Step 6: Final answer
    x = 163,589.49

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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.