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Finding the Fourth Proportional to 78,128.51, 107,746.48 and 51,260.81

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Solution

The fourth proportional to 78,128.51, 107,746.48 and 51,260.81 is: 70,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128.51 : 107,746.48 = 51,260.81 : x
  2. Step 2: Convert to fraction form
    78,128.51/107,746.48 = 51,260.81/x
  3. Step 3: Cross multiply
    78,128.51x = 107,746.48 × 51,260.81
  4. Step 4: Simplify right side
    78,128.51x = 5,523,171,583.14
  5. Step 5: Solve for x
    x = 5,523,171,583.14/78,128.51
  6. Step 6: Final answer
    x = 70,693.42

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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.