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Finding the Fourth Proportional to 98,334.60, 147,507.39 and 28,212

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Solution

The fourth proportional to 98,334.60, 147,507.39 and 28,212 is: 42,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,334.60 : 147,507.39 = 28,212 : x
  2. Step 2: Convert to fraction form
    98,334.60/147,507.39 = 28,212/x
  3. Step 3: Cross multiply
    98,334.60x = 147,507.39 × 28,212
  4. Step 4: Simplify right side
    98,334.60x = 4,161,478,486.68
  5. Step 5: Solve for x
    x = 4,161,478,486.68/98,334.60
  6. Step 6: Final answer
    x = 42,319.58

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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.