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Finding the Fourth Proportional to 74,412.16, 102,647.88 and 47,138.30

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Solution

The fourth proportional to 74,412.16, 102,647.88 and 47,138.30 is: 65,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,412.16 : 102,647.88 = 47,138.30 : x
  2. Step 2: Convert to fraction form
    74,412.16/102,647.88 = 47,138.30/x
  3. Step 3: Cross multiply
    74,412.16x = 102,647.88 × 47,138.30
  4. Step 4: Simplify right side
    74,412.16x = 4,838,646,048.56
  5. Step 5: Solve for x
    x = 4,838,646,048.56/74,412.16
  6. Step 6: Final answer
    x = 65,024.94

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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.