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Finding the Fourth Proportional to 30,053.78, 45,068.37 and 13,402.43

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Solution

The fourth proportional to 30,053.78, 45,068.37 and 13,402.43 is: 20,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,053.78 : 45,068.37 = 13,402.43 : x
  2. Step 2: Convert to fraction form
    30,053.78/45,068.37 = 13,402.43/x
  3. Step 3: Cross multiply
    30,053.78x = 45,068.37 × 13,402.43
  4. Step 4: Simplify right side
    30,053.78x = 604,025,674.14
  5. Step 5: Solve for x
    x = 604,025,674.14/30,053.78
  6. Step 6: Final answer
    x = 20,098.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.