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Finding the Fourth Proportional to 97,155.96, 145,739.16 and 30,601.30

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Solution

The fourth proportional to 97,155.96, 145,739.16 and 30,601.30 is: 45,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,155.96 : 145,739.16 = 30,601.30 : x
  2. Step 2: Convert to fraction form
    97,155.96/145,739.16 = 30,601.30/x
  3. Step 3: Cross multiply
    97,155.96x = 145,739.16 × 30,601.30
  4. Step 4: Simplify right side
    97,155.96x = 4,459,807,028.21
  5. Step 5: Solve for x
    x = 4,459,807,028.21/97,155.96
  6. Step 6: Final answer
    x = 45,903.59

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1.5x scale

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.