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Finding the Fourth Proportional to 85,509.87, 118,002.75 and 47,784.12

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Solution

The fourth proportional to 85,509.87, 118,002.75 and 47,784.12 is: 65,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,509.87 : 118,002.75 = 47,784.12 : x
  2. Step 2: Convert to fraction form
    85,509.87/118,002.75 = 47,784.12/x
  3. Step 3: Cross multiply
    85,509.87x = 118,002.75 × 47,784.12
  4. Step 4: Simplify right side
    85,509.87x = 5,638,657,566.33
  5. Step 5: Solve for x
    x = 5,638,657,566.33/85,509.87
  6. Step 6: Final answer
    x = 65,941.60

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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.