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Finding the Fourth Proportional to 85,347.63, 117,779.64 and 47,621.88

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Solution

The fourth proportional to 85,347.63, 117,779.64 and 47,621.88 is: 65,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,347.63 : 117,779.64 = 47,621.88 : x
  2. Step 2: Convert to fraction form
    85,347.63/117,779.64 = 47,621.88/x
  3. Step 3: Cross multiply
    85,347.63x = 117,779.64 × 47,621.88
  4. Step 4: Simplify right side
    85,347.63x = 5,608,887,882.52
  5. Step 5: Solve for x
    x = 5,608,887,882.52/85,347.63
  6. Step 6: Final answer
    x = 65,718.14

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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.