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Finding the Fourth Proportional to 85,703.16, 118,259.25 and 47,977.44

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Solution

The fourth proportional to 85,703.16, 118,259.25 and 47,977.44 is: 66,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,703.16 : 118,259.25 = 47,977.44 : x
  2. Step 2: Convert to fraction form
    85,703.16/118,259.25 = 47,977.44/x
  3. Step 3: Cross multiply
    85,703.16x = 118,259.25 × 47,977.44
  4. Step 4: Simplify right side
    85,703.16x = 5,673,776,071.32
  5. Step 5: Solve for x
    x = 5,673,776,071.32/85,703.16
  6. Step 6: Final answer
    x = 66,202.65

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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.