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Finding the Fourth Proportional to 102,059.33, 152,801.44 and 77,019.80

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Solution

The fourth proportional to 102,059.33, 152,801.44 and 77,019.80 is: 115,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,059.33 : 152,801.44 = 77,019.80 : x
  2. Step 2: Convert to fraction form
    102,059.33/152,801.44 = 77,019.80/x
  3. Step 3: Cross multiply
    102,059.33x = 152,801.44 × 77,019.80
  4. Step 4: Simplify right side
    102,059.33x = 11,768,735,391.96
  5. Step 5: Solve for x
    x = 11,768,735,391.96/102,059.33
  6. Step 6: Final answer
    x = 115,312.69

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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.