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Finding the Fourth Proportional to 85,120.16, 117,464.70 and 46,878.98

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Solution

The fourth proportional to 85,120.16, 117,464.70 and 46,878.98 is: 64,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,120.16 : 117,464.70 = 46,878.98 : x
  2. Step 2: Convert to fraction form
    85,120.16/117,464.70 = 46,878.98/x
  3. Step 3: Cross multiply
    85,120.16x = 117,464.70 × 46,878.98
  4. Step 4: Simplify right side
    85,120.16x = 5,506,625,322.01
  5. Step 5: Solve for x
    x = 5,506,625,322.01/85,120.16
  6. Step 6: Final answer
    x = 64,692.38

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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.