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Finding the Fourth Proportional to 212,783.61, 293,643.42 and 117,293.73

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Solution

The fourth proportional to 212,783.61, 293,643.42 and 117,293.73 is: 161,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,783.61 : 293,643.42 = 117,293.73 : x
  2. Step 2: Convert to fraction form
    212,783.61/293,643.42 = 117,293.73/x
  3. Step 3: Cross multiply
    212,783.61x = 293,643.42 × 117,293.73
  4. Step 4: Simplify right side
    212,783.61x = 34,442,532,021.76
  5. Step 5: Solve for x
    x = 34,442,532,021.76/212,783.61
  6. Step 6: Final answer
    x = 161,866.47

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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.