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Finding the Fourth Proportional to 76,407.77, 105,423.93 and 45,785.79

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Solution

The fourth proportional to 76,407.77, 105,423.93 and 45,785.79 is: 63,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,407.77 : 105,423.93 = 45,785.79 : x
  2. Step 2: Convert to fraction form
    76,407.77/105,423.93 = 45,785.79/x
  3. Step 3: Cross multiply
    76,407.77x = 105,423.93 × 45,785.79
  4. Step 4: Simplify right side
    76,407.77x = 4,826,917,919.95
  5. Step 5: Solve for x
    x = 4,826,917,919.95/76,407.77
  6. Step 6: Final answer
    x = 63,173.13

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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.