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Finding the Fourth Proportional to 85,532.78, 118,038.84 and 47,807

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Solution

The fourth proportional to 85,532.78, 118,038.84 and 47,807 is: 65,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,532.78 : 118,038.84 = 47,807 : x
  2. Step 2: Convert to fraction form
    85,532.78/118,038.84 = 47,807/x
  3. Step 3: Cross multiply
    85,532.78x = 118,038.84 × 47,807
  4. Step 4: Simplify right side
    85,532.78x = 5,643,082,823.88
  5. Step 5: Solve for x
    x = 5,643,082,823.88/85,532.78
  6. Step 6: Final answer
    x = 65,975.67

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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.