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Finding the Fourth Proportional to 102,210.56, 141,048.96 and 56,888

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Solution

The fourth proportional to 102,210.56, 141,048.96 and 56,888 is: 78,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,210.56 : 141,048.96 = 56,888 : x
  2. Step 2: Convert to fraction form
    102,210.56/141,048.96 = 56,888/x
  3. Step 3: Cross multiply
    102,210.56x = 141,048.96 × 56,888
  4. Step 4: Simplify right side
    102,210.56x = 8,023,993,236.48
  5. Step 5: Solve for x
    x = 8,023,993,236.48/102,210.56
  6. Step 6: Final answer
    x = 78,504.54

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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.