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Finding the Fourth Proportional to 78,282.64, 117,422.60 and 31,534.32

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Solution

The fourth proportional to 78,282.64, 117,422.60 and 31,534.32 is: 47,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,282.64 : 117,422.60 = 31,534.32 : x
  2. Step 2: Convert to fraction form
    78,282.64/117,422.60 = 31,534.32/x
  3. Step 3: Cross multiply
    78,282.64x = 117,422.60 × 31,534.32
  4. Step 4: Simplify right side
    78,282.64x = 3,702,841,843.63
  5. Step 5: Solve for x
    x = 3,702,841,843.63/78,282.64
  6. Step 6: Final answer
    x = 47,300.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.