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Finding the Fourth Proportional to 76,730.90, 105,904.98 and 51,565.82

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Solution

The fourth proportional to 76,730.90, 105,904.98 and 51,565.82 is: 71,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,730.90 : 105,904.98 = 51,565.82 : x
  2. Step 2: Convert to fraction form
    76,730.90/105,904.98 = 51,565.82/x
  3. Step 3: Cross multiply
    76,730.90x = 105,904.98 × 51,565.82
  4. Step 4: Simplify right side
    76,730.90x = 5,461,076,348.43
  5. Step 5: Solve for x
    x = 5,461,076,348.43/76,730.90
  6. Step 6: Final answer
    x = 71,171.81

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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.