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Finding the Fourth Proportional to 102,063.75, 140,852.78 and 56,742.48

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Solution

The fourth proportional to 102,063.75, 140,852.78 and 56,742.48 is: 78,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,063.75 : 140,852.78 = 56,742.48 : x
  2. Step 2: Convert to fraction form
    102,063.75/140,852.78 = 56,742.48/x
  3. Step 3: Cross multiply
    102,063.75x = 140,852.78 × 56,742.48
  4. Step 4: Simplify right side
    102,063.75x = 7,992,335,768.38
  5. Step 5: Solve for x
    x = 7,992,335,768.38/102,063.75
  6. Step 6: Final answer
    x = 78,307.29

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1.5x scale

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.