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Finding the Fourth Proportional to 51,260.48, 70,741.92 and 28,904

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Solution

The fourth proportional to 51,260.48, 70,741.92 and 28,904 is: 39,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,260.48 : 70,741.92 = 28,904 : x
  2. Step 2: Convert to fraction form
    51,260.48/70,741.92 = 28,904/x
  3. Step 3: Cross multiply
    51,260.48x = 70,741.92 × 28,904
  4. Step 4: Simplify right side
    51,260.48x = 2,044,724,455.68
  5. Step 5: Solve for x
    x = 2,044,724,455.68/51,260.48
  6. Step 6: Final answer
    x = 39,888.91

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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.