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Finding the Fourth Proportional to 185,775.60, 278,749.80 and 97,129.20

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Solution

The fourth proportional to 185,775.60, 278,749.80 and 97,129.20 is: 145,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,775.60 : 278,749.80 = 97,129.20 : x
  2. Step 2: Convert to fraction form
    185,775.60/278,749.80 = 97,129.20/x
  3. Step 3: Cross multiply
    185,775.60x = 278,749.80 × 97,129.20
  4. Step 4: Simplify right side
    185,775.60x = 27,074,745,074.16
  5. Step 5: Solve for x
    x = 27,074,745,074.16/185,775.60
  6. Step 6: Final answer
    x = 145,738.97

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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.