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Finding the Fourth Proportional to 145,611, 218,416.32 and 45,779.94

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Solution

The fourth proportional to 145,611, 218,416.32 and 45,779.94 is: 68,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611 : 218,416.32 = 45,779.94 : x
  2. Step 2: Convert to fraction form
    145,611/218,416.32 = 45,779.94/x
  3. Step 3: Cross multiply
    145,611x = 218,416.32 × 45,779.94
  4. Step 4: Simplify right side
    145,611x = 9,999,086,024.62
  5. Step 5: Solve for x
    x = 9,999,086,024.62/145,611
  6. Step 6: Final answer
    x = 68,669.85

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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.