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Finding the Fourth Proportional to 74,510.24, 102,866.64 and 49,393.76

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Solution

The fourth proportional to 74,510.24, 102,866.64 and 49,393.76 is: 68,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,510.24 : 102,866.64 = 49,393.76 : x
  2. Step 2: Convert to fraction form
    74,510.24/102,866.64 = 49,393.76/x
  3. Step 3: Cross multiply
    74,510.24x = 102,866.64 × 49,393.76
  4. Step 4: Simplify right side
    74,510.24x = 5,080,970,128.17
  5. Step 5: Solve for x
    x = 5,080,970,128.17/74,510.24
  6. Step 6: Final answer
    x = 68,191.57

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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.