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Finding the Fourth Proportional to 212,802.01, 319,564.57 and 142,178.48

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Solution

The fourth proportional to 212,802.01, 319,564.57 and 142,178.48 is: 213,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,802.01 : 319,564.57 = 142,178.48 : x
  2. Step 2: Convert to fraction form
    212,802.01/319,564.57 = 142,178.48/x
  3. Step 3: Cross multiply
    212,802.01x = 319,564.57 × 142,178.48
  4. Step 4: Simplify right side
    212,802.01x = 45,435,204,824.45
  5. Step 5: Solve for x
    x = 45,435,204,824.45/212,802.01
  6. Step 6: Final answer
    x = 213,509.28

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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.