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Finding the Fourth Proportional to 105,547.97, 145,655.11 and 57,149.07

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Solution

The fourth proportional to 105,547.97, 145,655.11 and 57,149.07 is: 78,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,547.97 : 145,655.11 = 57,149.07 : x
  2. Step 2: Convert to fraction form
    105,547.97/145,655.11 = 57,149.07/x
  3. Step 3: Cross multiply
    105,547.97x = 145,655.11 × 57,149.07
  4. Step 4: Simplify right side
    105,547.97x = 8,324,054,077.25
  5. Step 5: Solve for x
    x = 8,324,054,077.25/105,547.97
  6. Step 6: Final answer
    x = 78,865.13

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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.