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Finding the Fourth Proportional to 100,886.36, 139,218.65 and 57,834.98

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Solution

The fourth proportional to 100,886.36, 139,218.65 and 57,834.98 is: 79,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,886.36 : 139,218.65 = 57,834.98 : x
  2. Step 2: Convert to fraction form
    100,886.36/139,218.65 = 57,834.98/x
  3. Step 3: Cross multiply
    100,886.36x = 139,218.65 × 57,834.98
  4. Step 4: Simplify right side
    100,886.36x = 8,051,706,853.11
  5. Step 5: Solve for x
    x = 8,051,706,853.11/100,886.36
  6. Step 6: Final answer
    x = 79,809.67

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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.