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Finding the Fourth Proportional to 212,950.80, 293,882.40 and 117,457.20

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Solution

The fourth proportional to 212,950.80, 293,882.40 and 117,457.20 is: 162,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,950.80 : 293,882.40 = 117,457.20 : x
  2. Step 2: Convert to fraction form
    212,950.80/293,882.40 = 117,457.20/x
  3. Step 3: Cross multiply
    212,950.80x = 293,882.40 × 117,457.20
  4. Step 4: Simplify right side
    212,950.80x = 34,518,603,833.28
  5. Step 5: Solve for x
    x = 34,518,603,833.28/212,950.80
  6. Step 6: Final answer
    x = 162,096.61

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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.