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Finding the Fourth Proportional to 97,160.40, 145,745.79 and 30,605.70

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Solution

The fourth proportional to 97,160.40, 145,745.79 and 30,605.70 is: 45,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,160.40 : 145,745.79 = 30,605.70 : x
  2. Step 2: Convert to fraction form
    97,160.40/145,745.79 = 30,605.70/x
  3. Step 3: Cross multiply
    97,160.40x = 145,745.79 × 30,605.70
  4. Step 4: Simplify right side
    97,160.40x = 4,460,651,925.00
  5. Step 5: Solve for x
    x = 4,460,651,925.00/97,160.40
  6. Step 6: Final answer
    x = 45,910.18

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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.