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Finding the Fourth Proportional to 76,373.16, 114,561.66 and 20,969

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Solution

The fourth proportional to 76,373.16, 114,561.66 and 20,969 is: 31,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,373.16 : 114,561.66 = 20,969 : x
  2. Step 2: Convert to fraction form
    76,373.16/114,561.66 = 20,969/x
  3. Step 3: Cross multiply
    76,373.16x = 114,561.66 × 20,969
  4. Step 4: Simplify right side
    76,373.16x = 2,402,243,448.54
  5. Step 5: Solve for x
    x = 2,402,243,448.54/76,373.16
  6. Step 6: Final answer
    x = 31,454.03

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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.