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Finding the Fourth Proportional to 70,272, 105,422.58 and 28,719

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Solution

The fourth proportional to 70,272, 105,422.58 and 28,719 is: 43,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,272 : 105,422.58 = 28,719 : x
  2. Step 2: Convert to fraction form
    70,272/105,422.58 = 28,719/x
  3. Step 3: Cross multiply
    70,272x = 105,422.58 × 28,719
  4. Step 4: Simplify right side
    70,272x = 3,027,631,075.02
  5. Step 5: Solve for x
    x = 3,027,631,075.02/70,272
  6. Step 6: Final answer
    x = 43,084.46

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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.