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Finding the Fourth Proportional to 102,035.76, 140,808.60 and 57,323.76

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Solution

The fourth proportional to 102,035.76, 140,808.60 and 57,323.76 is: 79,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,035.76 : 140,808.60 = 57,323.76 : x
  2. Step 2: Convert to fraction form
    102,035.76/140,808.60 = 57,323.76/x
  3. Step 3: Cross multiply
    102,035.76x = 140,808.60 × 57,323.76
  4. Step 4: Simplify right side
    102,035.76x = 8,071,678,392.34
  5. Step 5: Solve for x
    x = 8,071,678,392.34/102,035.76
  6. Step 6: Final answer
    x = 79,106.37

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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.