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Finding the Fourth Proportional to 125,583.76, 188,222.40 and 69,421.60

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Solution

The fourth proportional to 125,583.76, 188,222.40 and 69,421.60 is: 104,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,583.76 : 188,222.40 = 69,421.60 : x
  2. Step 2: Convert to fraction form
    125,583.76/188,222.40 = 69,421.60/x
  3. Step 3: Cross multiply
    125,583.76x = 188,222.40 × 69,421.60
  4. Step 4: Simplify right side
    125,583.76x = 13,066,700,163.84
  5. Step 5: Solve for x
    x = 13,066,700,163.84/125,583.76
  6. Step 6: Final answer
    x = 104,047.69

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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.