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Finding the Fourth Proportional to 85,417.98, 117,876.88 and 47,692.24

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Solution

The fourth proportional to 85,417.98, 117,876.88 and 47,692.24 is: 65,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,417.98 : 117,876.88 = 47,692.24 : x
  2. Step 2: Convert to fraction form
    85,417.98/117,876.88 = 47,692.24/x
  3. Step 3: Cross multiply
    85,417.98x = 117,876.88 × 47,692.24
  4. Step 4: Simplify right side
    85,417.98x = 5,621,812,451.41
  5. Step 5: Solve for x
    x = 5,621,812,451.41/85,417.98
  6. Step 6: Final answer
    x = 65,815.33

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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.