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Finding the Fourth Proportional to 105,298, 145,310.97 and 57,551.68

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Solution

The fourth proportional to 105,298, 145,310.97 and 57,551.68 is: 79,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,298 : 145,310.97 = 57,551.68 : x
  2. Step 2: Convert to fraction form
    105,298/145,310.97 = 57,551.68/x
  3. Step 3: Cross multiply
    105,298x = 145,310.97 × 57,551.68
  4. Step 4: Simplify right side
    105,298x = 8,362,890,445.93
  5. Step 5: Solve for x
    x = 8,362,890,445.93/105,298
  6. Step 6: Final answer
    x = 79,421.17

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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.