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Finding the Fourth Proportional to 105,712, 145,886.97 and 57,967.18

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Solution

The fourth proportional to 105,712, 145,886.97 and 57,967.18 is: 79,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,712 : 145,886.97 = 57,967.18 : x
  2. Step 2: Convert to fraction form
    105,712/145,886.97 = 57,967.18/x
  3. Step 3: Cross multiply
    105,712x = 145,886.97 × 57,967.18
  4. Step 4: Simplify right side
    105,712x = 8,456,656,249.64
  5. Step 5: Solve for x
    x = 8,456,656,249.64/105,712
  6. Step 6: Final answer
    x = 79,997.13

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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.