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Finding the Fourth Proportional to 53,643.91, 74,011.49 and 30,979.91

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Solution

The fourth proportional to 53,643.91, 74,011.49 and 30,979.91 is: 42,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.91 : 74,011.49 = 30,979.91 : x
  2. Step 2: Convert to fraction form
    53,643.91/74,011.49 = 30,979.91/x
  3. Step 3: Cross multiply
    53,643.91x = 74,011.49 × 30,979.91
  4. Step 4: Simplify right side
    53,643.91x = 2,292,869,036.69
  5. Step 5: Solve for x
    x = 2,292,869,036.69/53,643.91
  6. Step 6: Final answer
    x = 42,742.39

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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.