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Finding the Fourth Proportional to 70,703.18, 106,038.37 and 20,769.87

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Solution

The fourth proportional to 70,703.18, 106,038.37 and 20,769.87 is: 31,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,703.18 : 106,038.37 = 20,769.87 : x
  2. Step 2: Convert to fraction form
    70,703.18/106,038.37 = 20,769.87/x
  3. Step 3: Cross multiply
    70,703.18x = 106,038.37 × 20,769.87
  4. Step 4: Simplify right side
    70,703.18x = 2,202,402,870.22
  5. Step 5: Solve for x
    x = 2,202,402,870.22/70,703.18
  6. Step 6: Final answer
    x = 31,149.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.