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Finding the Fourth Proportional to 295,172.20, 442,710.78 and 84,762.28

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Solution

The fourth proportional to 295,172.20, 442,710.78 and 84,762.28 is: 127,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,172.20 : 442,710.78 = 84,762.28 : x
  2. Step 2: Convert to fraction form
    295,172.20/442,710.78 = 84,762.28/x
  3. Step 3: Cross multiply
    295,172.20x = 442,710.78 × 84,762.28
  4. Step 4: Simplify right side
    295,172.20x = 37,525,175,093.38
  5. Step 5: Solve for x
    x = 37,525,175,093.38/295,172.20
  6. Step 6: Final answer
    x = 127,129.77

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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.