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Finding the Fourth Proportional to 103,455, 142,768.05 and 58,743

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Solution

The fourth proportional to 103,455, 142,768.05 and 58,743 is: 81,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,455 : 142,768.05 = 58,743 : x
  2. Step 2: Convert to fraction form
    103,455/142,768.05 = 58,743/x
  3. Step 3: Cross multiply
    103,455x = 142,768.05 × 58,743
  4. Step 4: Simplify right side
    103,455x = 8,386,623,561.15
  5. Step 5: Solve for x
    x = 8,386,623,561.15/103,455
  6. Step 6: Final answer
    x = 81,065.43

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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.