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Finding the Fourth Proportional to 212,842.56, 319,263.84 and 72,602.40

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Solution

The fourth proportional to 212,842.56, 319,263.84 and 72,602.40 is: 108,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,842.56 : 319,263.84 = 72,602.40 : x
  2. Step 2: Convert to fraction form
    212,842.56/319,263.84 = 72,602.40/x
  3. Step 3: Cross multiply
    212,842.56x = 319,263.84 × 72,602.40
  4. Step 4: Simplify right side
    212,842.56x = 23,179,321,017.22
  5. Step 5: Solve for x
    x = 23,179,321,017.22/212,842.56
  6. Step 6: Final answer
    x = 108,903.60

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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.