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Finding the Fourth Proportional to 103,138, 142,322.76 and 58,425.04

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Solution

The fourth proportional to 103,138, 142,322.76 and 58,425.04 is: 80,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,138 : 142,322.76 = 58,425.04 : x
  2. Step 2: Convert to fraction form
    103,138/142,322.76 = 58,425.04/x
  3. Step 3: Cross multiply
    103,138x = 142,322.76 × 58,425.04
  4. Step 4: Simplify right side
    103,138x = 8,315,212,945.91
  5. Step 5: Solve for x
    x = 8,315,212,945.91/103,138
  6. Step 6: Final answer
    x = 80,622.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.