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Finding the Fourth Proportional to 85,361.82, 117,807.15 and 47,128.20

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Solution

The fourth proportional to 85,361.82, 117,807.15 and 47,128.20 is: 65,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,361.82 : 117,807.15 = 47,128.20 : x
  2. Step 2: Convert to fraction form
    85,361.82/117,807.15 = 47,128.20/x
  3. Step 3: Cross multiply
    85,361.82x = 117,807.15 × 47,128.20
  4. Step 4: Simplify right side
    85,361.82x = 5,552,038,926.63
  5. Step 5: Solve for x
    x = 5,552,038,926.63/85,361.82
  6. Step 6: Final answer
    x = 65,041.24

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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.