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Finding the Fourth Proportional to 122,797.02, 169,483.10 and 76,878.01

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Solution

The fourth proportional to 122,797.02, 169,483.10 and 76,878.01 is: 106,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,797.02 : 169,483.10 = 76,878.01 : x
  2. Step 2: Convert to fraction form
    122,797.02/169,483.10 = 76,878.01/x
  3. Step 3: Cross multiply
    122,797.02x = 169,483.10 × 76,878.01
  4. Step 4: Simplify right side
    122,797.02x = 13,029,523,456.63
  5. Step 5: Solve for x
    x = 13,029,523,456.63/122,797.02
  6. Step 6: Final answer
    x = 106,106.19

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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.