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Finding the Fourth Proportional to 120,437.58, 180,821.88 and 61,312.98

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Solution

The fourth proportional to 120,437.58, 180,821.88 and 61,312.98 is: 92,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,437.58 : 180,821.88 = 61,312.98 : x
  2. Step 2: Convert to fraction form
    120,437.58/180,821.88 = 61,312.98/x
  3. Step 3: Cross multiply
    120,437.58x = 180,821.88 × 61,312.98
  4. Step 4: Simplify right side
    120,437.58x = 11,086,728,312.00
  5. Step 5: Solve for x
    x = 11,086,728,312.00/120,437.58
  6. Step 6: Final answer
    x = 92,053.73

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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.