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Finding the Fourth Proportional to 75,968.64, 104,688.72 and 54,707.76

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Solution

The fourth proportional to 75,968.64, 104,688.72 and 54,707.76 is: 75,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,968.64 : 104,688.72 = 54,707.76 : x
  2. Step 2: Convert to fraction form
    75,968.64/104,688.72 = 54,707.76/x
  3. Step 3: Cross multiply
    75,968.64x = 104,688.72 × 54,707.76
  4. Step 4: Simplify right side
    75,968.64x = 5,727,285,368.47
  5. Step 5: Solve for x
    x = 5,727,285,368.47/75,968.64
  6. Step 6: Final answer
    x = 75,390.13

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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.