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Finding the Fourth Proportional to 85,410.15, 117,866.01 and 47,684.40

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Solution

The fourth proportional to 85,410.15, 117,866.01 and 47,684.40 is: 65,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410.15 : 117,866.01 = 47,684.40 : x
  2. Step 2: Convert to fraction form
    85,410.15/117,866.01 = 47,684.40/x
  3. Step 3: Cross multiply
    85,410.15x = 117,866.01 × 47,684.40
  4. Step 4: Simplify right side
    85,410.15x = 5,620,369,967.24
  5. Step 5: Solve for x
    x = 5,620,369,967.24/85,410.15
  6. Step 6: Final answer
    x = 65,804.47

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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.