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Finding the Fourth Proportional to 153,989.74, 230,944.52 and 65,197.54

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Solution

The fourth proportional to 153,989.74, 230,944.52 and 65,197.54 is: 97,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,989.74 : 230,944.52 = 65,197.54 : x
  2. Step 2: Convert to fraction form
    153,989.74/230,944.52 = 65,197.54/x
  3. Step 3: Cross multiply
    153,989.74x = 230,944.52 × 65,197.54
  4. Step 4: Simplify right side
    153,989.74x = 15,057,014,580.48
  5. Step 5: Solve for x
    x = 15,057,014,580.48/153,989.74
  6. Step 6: Final answer
    x = 97,779.34

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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.