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Finding the Fourth Proportional to 98,325.20, 147,564.60 and 45,741.20

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Solution

The fourth proportional to 98,325.20, 147,564.60 and 45,741.20 is: 68,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,325.20 : 147,564.60 = 45,741.20 : x
  2. Step 2: Convert to fraction form
    98,325.20/147,564.60 = 45,741.20/x
  3. Step 3: Cross multiply
    98,325.20x = 147,564.60 × 45,741.20
  4. Step 4: Simplify right side
    98,325.20x = 6,749,781,881.52
  5. Step 5: Solve for x
    x = 6,749,781,881.52/98,325.20
  6. Step 6: Final answer
    x = 68,647.53

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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.