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Finding the Fourth Proportional to 77,302.80, 115,819.80 and 35,664.40

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Solution

The fourth proportional to 77,302.80, 115,819.80 and 35,664.40 is: 53,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,302.80 : 115,819.80 = 35,664.40 : x
  2. Step 2: Convert to fraction form
    77,302.80/115,819.80 = 35,664.40/x
  3. Step 3: Cross multiply
    77,302.80x = 115,819.80 × 35,664.40
  4. Step 4: Simplify right side
    77,302.80x = 4,130,643,675.12
  5. Step 5: Solve for x
    x = 4,130,643,675.12/77,302.80
  6. Step 6: Final answer
    x = 53,434.59

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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.