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Finding the Fourth Proportional to 78,455, 117,682.50 and 23,051

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Solution

The fourth proportional to 78,455, 117,682.50 and 23,051 is: 34,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455 : 117,682.50 = 23,051 : x
  2. Step 2: Convert to fraction form
    78,455/117,682.50 = 23,051/x
  3. Step 3: Cross multiply
    78,455x = 117,682.50 × 23,051
  4. Step 4: Simplify right side
    78,455x = 2,712,699,307.50
  5. Step 5: Solve for x
    x = 2,712,699,307.50/78,455
  6. Step 6: Final answer
    x = 34,576.50

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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.