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Finding the Fourth Proportional to 78,238.66, 107,967.45 and 44,702.50

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Solution

The fourth proportional to 78,238.66, 107,967.45 and 44,702.50 is: 61,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,238.66 : 107,967.45 = 44,702.50 : x
  2. Step 2: Convert to fraction form
    78,238.66/107,967.45 = 44,702.50/x
  3. Step 3: Cross multiply
    78,238.66x = 107,967.45 × 44,702.50
  4. Step 4: Simplify right side
    78,238.66x = 4,826,414,933.63
  5. Step 5: Solve for x
    x = 4,826,414,933.63/78,238.66
  6. Step 6: Final answer
    x = 61,688.36

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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.