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Finding the Fourth Proportional to 105,473.88, 145,553.49 and 57,727.08

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Solution

The fourth proportional to 105,473.88, 145,553.49 and 57,727.08 is: 79,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,473.88 : 145,553.49 = 57,727.08 : x
  2. Step 2: Convert to fraction form
    105,473.88/145,553.49 = 57,727.08/x
  3. Step 3: Cross multiply
    105,473.88x = 145,553.49 × 57,727.08
  4. Step 4: Simplify right side
    105,473.88x = 8,402,377,961.51
  5. Step 5: Solve for x
    x = 8,402,377,961.51/105,473.88
  6. Step 6: Final answer
    x = 79,663.12

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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.