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Finding the Fourth Proportional to 114,880.96, 172,145.40 and 77,302

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Solution

The fourth proportional to 114,880.96, 172,145.40 and 77,302 is: 115,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,880.96 : 172,145.40 = 77,302 : x
  2. Step 2: Convert to fraction form
    114,880.96/172,145.40 = 77,302/x
  3. Step 3: Cross multiply
    114,880.96x = 172,145.40 × 77,302
  4. Step 4: Simplify right side
    114,880.96x = 13,307,183,710.80
  5. Step 5: Solve for x
    x = 13,307,183,710.80/114,880.96
  6. Step 6: Final answer
    x = 115,834.54

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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.