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Finding the Fourth Proportional to 74,430, 102,713.40 and 40,898.16

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Solution

The fourth proportional to 74,430, 102,713.40 and 40,898.16 is: 56,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,430 : 102,713.40 = 40,898.16 : x
  2. Step 2: Convert to fraction form
    74,430/102,713.40 = 40,898.16/x
  3. Step 3: Cross multiply
    74,430x = 102,713.40 × 40,898.16
  4. Step 4: Simplify right side
    74,430x = 4,200,789,067.34
  5. Step 5: Solve for x
    x = 4,200,789,067.34/74,430
  6. Step 6: Final answer
    x = 56,439.46

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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.