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Finding the Fourth Proportional to 97,140.48, 145,404.96 and 66,978.24

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Solution

The fourth proportional to 97,140.48, 145,404.96 and 66,978.24 is: 100,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,140.48 : 145,404.96 = 66,978.24 : x
  2. Step 2: Convert to fraction form
    97,140.48/145,404.96 = 66,978.24/x
  3. Step 3: Cross multiply
    97,140.48x = 145,404.96 × 66,978.24
  4. Step 4: Simplify right side
    97,140.48x = 9,738,968,308.07
  5. Step 5: Solve for x
    x = 9,738,968,308.07/97,140.48
  6. Step 6: Final answer
    x = 100,256.54

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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.