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Finding the Fourth Proportional to 99,980.18, 149,970 and 33,420.32

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Solution

The fourth proportional to 99,980.18, 149,970 and 33,420.32 is: 50,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,980.18 : 149,970 = 33,420.32 : x
  2. Step 2: Convert to fraction form
    99,980.18/149,970 = 33,420.32/x
  3. Step 3: Cross multiply
    99,980.18x = 149,970 × 33,420.32
  4. Step 4: Simplify right side
    99,980.18x = 5,012,045,390.40
  5. Step 5: Solve for x
    x = 5,012,045,390.40/99,980.18
  6. Step 6: Final answer
    x = 50,130.39

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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.