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Finding the Fourth Proportional to 213,020.90, 293,969.80 and 117,530.40

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Solution

The fourth proportional to 213,020.90, 293,969.80 and 117,530.40 is: 162,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,020.90 : 293,969.80 = 117,530.40 : x
  2. Step 2: Convert to fraction form
    213,020.90/293,969.80 = 117,530.40/x
  3. Step 3: Cross multiply
    213,020.90x = 293,969.80 × 117,530.40
  4. Step 4: Simplify right side
    213,020.90x = 34,550,388,181.92
  5. Step 5: Solve for x
    x = 34,550,388,181.92/213,020.90
  6. Step 6: Final answer
    x = 162,192.48

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1.5x scale

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.