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Finding the Fourth Proportional to 78,295.58, 117,476.31 and 31,536.98

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Solution

The fourth proportional to 78,295.58, 117,476.31 and 31,536.98 is: 47,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,295.58 : 117,476.31 = 31,536.98 : x
  2. Step 2: Convert to fraction form
    78,295.58/117,476.31 = 31,536.98/x
  3. Step 3: Cross multiply
    78,295.58x = 117,476.31 × 31,536.98
  4. Step 4: Simplify right side
    78,295.58x = 3,704,848,038.94
  5. Step 5: Solve for x
    x = 3,704,848,038.94/78,295.58
  6. Step 6: Final answer
    x = 47,318.74

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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.