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Finding the Fourth Proportional to 145,824, 218,774.88 and 71,952

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Solution

The fourth proportional to 145,824, 218,774.88 and 71,952 is: 107,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,824 : 218,774.88 = 71,952 : x
  2. Step 2: Convert to fraction form
    145,824/218,774.88 = 71,952/x
  3. Step 3: Cross multiply
    145,824x = 218,774.88 × 71,952
  4. Step 4: Simplify right side
    145,824x = 15,741,290,165.76
  5. Step 5: Solve for x
    x = 15,741,290,165.76/145,824
  6. Step 6: Final answer
    x = 107,947.18

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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.