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Finding the Fourth Proportional to 201,117.36, 301,403.88 and 76,390.32

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Solution

The fourth proportional to 201,117.36, 301,403.88 and 76,390.32 is: 114,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,117.36 : 301,403.88 = 76,390.32 : x
  2. Step 2: Convert to fraction form
    201,117.36/301,403.88 = 76,390.32/x
  3. Step 3: Cross multiply
    201,117.36x = 301,403.88 × 76,390.32
  4. Step 4: Simplify right side
    201,117.36x = 23,024,338,842.44
  5. Step 5: Solve for x
    x = 23,024,338,842.44/201,117.36
  6. Step 6: Final answer
    x = 114,482.11

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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.