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Finding the Fourth Proportional to 97,155.71, 145,738.79 and 30,601.05

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Solution

The fourth proportional to 97,155.71, 145,738.79 and 30,601.05 is: 45,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,155.71 : 145,738.79 = 30,601.05 : x
  2. Step 2: Convert to fraction form
    97,155.71/145,738.79 = 30,601.05/x
  3. Step 3: Cross multiply
    97,155.71x = 145,738.79 × 30,601.05
  4. Step 4: Simplify right side
    97,155.71x = 4,459,759,999.73
  5. Step 5: Solve for x
    x = 4,459,759,999.73/97,155.71
  6. Step 6: Final answer
    x = 45,903.22

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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.