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Finding the Fourth Proportional to 116,045.89, 160,108.11 and 75,145.34

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Solution

The fourth proportional to 116,045.89, 160,108.11 and 75,145.34 is: 103,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,045.89 : 160,108.11 = 75,145.34 : x
  2. Step 2: Convert to fraction form
    116,045.89/160,108.11 = 75,145.34/x
  3. Step 3: Cross multiply
    116,045.89x = 160,108.11 × 75,145.34
  4. Step 4: Simplify right side
    116,045.89x = 12,031,378,762.98
  5. Step 5: Solve for x
    x = 12,031,378,762.98/116,045.89
  6. Step 6: Final answer
    x = 103,677.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.