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Finding the Fourth Proportional to 122,368.34, 168,868.68 and 71,416.10

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Solution

The fourth proportional to 122,368.34, 168,868.68 and 71,416.10 is: 98,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,368.34 : 168,868.68 = 71,416.10 : x
  2. Step 2: Convert to fraction form
    122,368.34/168,868.68 = 71,416.10/x
  3. Step 3: Cross multiply
    122,368.34x = 168,868.68 × 71,416.10
  4. Step 4: Simplify right side
    122,368.34x = 12,059,942,537.75
  5. Step 5: Solve for x
    x = 12,059,942,537.75/122,368.34
  6. Step 6: Final answer
    x = 98,554.43

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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.