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Finding the Fourth Proportional to 82,866.42, 114,355.62 and 45,140.67

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Solution

The fourth proportional to 82,866.42, 114,355.62 and 45,140.67 is: 62,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.42 : 114,355.62 = 45,140.67 : x
  2. Step 2: Convert to fraction form
    82,866.42/114,355.62 = 45,140.67/x
  3. Step 3: Cross multiply
    82,866.42x = 114,355.62 × 45,140.67
  4. Step 4: Simplify right side
    82,866.42x = 5,162,089,305.07
  5. Step 5: Solve for x
    x = 5,162,089,305.07/82,866.42
  6. Step 6: Final answer
    x = 62,294.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.