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Finding the Fourth Proportional to 152,772, 210,826.80 and 85,705.44

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Solution

The fourth proportional to 152,772, 210,826.80 and 85,705.44 is: 118,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,772 : 210,826.80 = 85,705.44 : x
  2. Step 2: Convert to fraction form
    152,772/210,826.80 = 85,705.44/x
  3. Step 3: Cross multiply
    152,772x = 210,826.80 × 85,705.44
  4. Step 4: Simplify right side
    152,772x = 18,069,003,657.79
  5. Step 5: Solve for x
    x = 18,069,003,657.79/152,772
  6. Step 6: Final answer
    x = 118,274.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.