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Finding the Fourth Proportional to 76,701.66, 105,880.96 and 51,565.74

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Solution

The fourth proportional to 76,701.66, 105,880.96 and 51,565.74 is: 71,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,701.66 : 105,880.96 = 51,565.74 : x
  2. Step 2: Convert to fraction form
    76,701.66/105,880.96 = 51,565.74/x
  3. Step 3: Cross multiply
    76,701.66x = 105,880.96 × 51,565.74
  4. Step 4: Simplify right side
    76,701.66x = 5,459,830,054.31
  5. Step 5: Solve for x
    x = 5,459,830,054.31/76,701.66
  6. Step 6: Final answer
    x = 71,182.68

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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.