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Finding the Fourth Proportional to 85,415.63, 117,875.39 and 47,689.88

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Solution

The fourth proportional to 85,415.63, 117,875.39 and 47,689.88 is: 65,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,415.63 : 117,875.39 = 47,689.88 : x
  2. Step 2: Convert to fraction form
    85,415.63/117,875.39 = 47,689.88/x
  3. Step 3: Cross multiply
    85,415.63x = 117,875.39 × 47,689.88
  4. Step 4: Simplify right side
    85,415.63x = 5,621,462,376.23
  5. Step 5: Solve for x
    x = 5,621,462,376.23/85,415.63
  6. Step 6: Final answer
    x = 65,813.05

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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.