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Finding the Fourth Proportional to 212,762.90, 319,189.71 and 106,204.16

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Solution

The fourth proportional to 212,762.90, 319,189.71 and 106,204.16 is: 159,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,762.90 : 319,189.71 = 106,204.16 : x
  2. Step 2: Convert to fraction form
    212,762.90/319,189.71 = 106,204.16/x
  3. Step 3: Cross multiply
    212,762.90x = 319,189.71 × 106,204.16
  4. Step 4: Simplify right side
    212,762.90x = 33,899,276,227.43
  5. Step 5: Solve for x
    x = 33,899,276,227.43/212,762.90
  6. Step 6: Final answer
    x = 159,328.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.