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Finding the Fourth Proportional to 51,055.74, 70,457.31 and 28,699.74

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Solution

The fourth proportional to 51,055.74, 70,457.31 and 28,699.74 is: 39,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,055.74 : 70,457.31 = 28,699.74 : x
  2. Step 2: Convert to fraction form
    51,055.74/70,457.31 = 28,699.74/x
  3. Step 3: Cross multiply
    51,055.74x = 70,457.31 × 28,699.74
  4. Step 4: Simplify right side
    51,055.74x = 2,022,106,478.10
  5. Step 5: Solve for x
    x = 2,022,106,478.10/51,055.74
  6. Step 6: Final answer
    x = 39,605.86

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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.