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Finding the Fourth Proportional to 212,886.72, 293,762.16 and 117,390.96

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Solution

The fourth proportional to 212,886.72, 293,762.16 and 117,390.96 is: 161,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,886.72 : 293,762.16 = 117,390.96 : x
  2. Step 2: Convert to fraction form
    212,886.72/293,762.16 = 117,390.96/x
  3. Step 3: Cross multiply
    212,886.72x = 293,762.16 × 117,390.96
  4. Step 4: Simplify right side
    212,886.72x = 34,485,021,974.07
  5. Step 5: Solve for x
    x = 34,485,021,974.07/212,886.72
  6. Step 6: Final answer
    x = 161,987.66

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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.