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Finding the Fourth Proportional to 201,411.36, 301,920 and 83,182.32

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Solution

The fourth proportional to 201,411.36, 301,920 and 83,182.32 is: 124,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,411.36 : 301,920 = 83,182.32 : x
  2. Step 2: Convert to fraction form
    201,411.36/301,920 = 83,182.32/x
  3. Step 3: Cross multiply
    201,411.36x = 301,920 × 83,182.32
  4. Step 4: Simplify right side
    201,411.36x = 25,114,406,054.40
  5. Step 5: Solve for x
    x = 25,114,406,054.40/201,411.36
  6. Step 6: Final answer
    x = 124,692.10

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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.