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Finding the Fourth Proportional to 105,094, 157,638.42 and 30,214.36

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Solution

The fourth proportional to 105,094, 157,638.42 and 30,214.36 is: 45,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,094 : 157,638.42 = 30,214.36 : x
  2. Step 2: Convert to fraction form
    105,094/157,638.42 = 30,214.36/x
  3. Step 3: Cross multiply
    105,094x = 157,638.42 × 30,214.36
  4. Step 4: Simplify right side
    105,094x = 4,762,943,971.71
  5. Step 5: Solve for x
    x = 4,762,943,971.71/105,094
  6. Step 6: Final answer
    x = 45,320.80

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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.