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Finding the Fourth Proportional to 105,920.93, 146,109.87 and 63,454.86

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Solution

The fourth proportional to 105,920.93, 146,109.87 and 63,454.86 is: 87,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,920.93 : 146,109.87 = 63,454.86 : x
  2. Step 2: Convert to fraction form
    105,920.93/146,109.87 = 63,454.86/x
  3. Step 3: Cross multiply
    105,920.93x = 146,109.87 × 63,454.86
  4. Step 4: Simplify right side
    105,920.93x = 9,271,381,345.47
  5. Step 5: Solve for x
    x = 9,271,381,345.47/105,920.93
  6. Step 6: Final answer
    x = 87,531.16

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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.