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Finding the Fourth Proportional to 212,782.88, 293,642.35 and 117,293.00

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Solution

The fourth proportional to 212,782.88, 293,642.35 and 117,293.00 is: 161,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,782.88 : 293,642.35 = 117,293.00 : x
  2. Step 2: Convert to fraction form
    212,782.88/293,642.35 = 117,293.00/x
  3. Step 3: Cross multiply
    212,782.88x = 293,642.35 × 117,293.00
  4. Step 4: Simplify right side
    212,782.88x = 34,442,190,397.11
  5. Step 5: Solve for x
    x = 34,442,190,397.11/212,782.88
  6. Step 6: Final answer
    x = 161,865.42

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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.