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Finding the Fourth Proportional to 114,885.96, 172,152.90 and 77,307

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Solution

The fourth proportional to 114,885.96, 172,152.90 and 77,307 is: 115,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,885.96 : 172,152.90 = 77,307 : x
  2. Step 2: Convert to fraction form
    114,885.96/172,152.90 = 77,307/x
  3. Step 3: Cross multiply
    114,885.96x = 172,152.90 × 77,307
  4. Step 4: Simplify right side
    114,885.96x = 13,308,624,240.30
  5. Step 5: Solve for x
    x = 13,308,624,240.30/114,885.96
  6. Step 6: Final answer
    x = 115,842.04

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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.