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Finding the Fourth Proportional to 222,762.80, 334,158.76 and 64,978

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Solution

The fourth proportional to 222,762.80, 334,158.76 and 64,978 is: 97,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,762.80 : 334,158.76 = 64,978 : x
  2. Step 2: Convert to fraction form
    222,762.80/334,158.76 = 64,978/x
  3. Step 3: Cross multiply
    222,762.80x = 334,158.76 × 64,978
  4. Step 4: Simplify right side
    222,762.80x = 21,712,967,907.28
  5. Step 5: Solve for x
    x = 21,712,967,907.28/222,762.80
  6. Step 6: Final answer
    x = 97,471.25

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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.