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Finding the Fourth Proportional to 105,482, 145,565.16 and 58,378

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Solution

The fourth proportional to 105,482, 145,565.16 and 58,378 is: 80,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482 : 145,565.16 = 58,378 : x
  2. Step 2: Convert to fraction form
    105,482/145,565.16 = 58,378/x
  3. Step 3: Cross multiply
    105,482x = 145,565.16 × 58,378
  4. Step 4: Simplify right side
    105,482x = 8,497,802,910.48
  5. Step 5: Solve for x
    x = 8,497,802,910.48/105,482
  6. Step 6: Final answer
    x = 80,561.64

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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.