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Finding the Fourth Proportional to 112,133, 168,199.50 and 45,609.32

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Solution

The fourth proportional to 112,133, 168,199.50 and 45,609.32 is: 68,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,133 : 168,199.50 = 45,609.32 : x
  2. Step 2: Convert to fraction form
    112,133/168,199.50 = 45,609.32/x
  3. Step 3: Cross multiply
    112,133x = 168,199.50 × 45,609.32
  4. Step 4: Simplify right side
    112,133x = 7,671,464,819.34
  5. Step 5: Solve for x
    x = 7,671,464,819.34/112,133
  6. Step 6: Final answer
    x = 68,413.98

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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.