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Finding the Fourth Proportional to 102,920, 142,029.60 and 55,816

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Solution

The fourth proportional to 102,920, 142,029.60 and 55,816 is: 77,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920 : 142,029.60 = 55,816 : x
  2. Step 2: Convert to fraction form
    102,920/142,029.60 = 55,816/x
  3. Step 3: Cross multiply
    102,920x = 142,029.60 × 55,816
  4. Step 4: Simplify right side
    102,920x = 7,927,524,153.60
  5. Step 5: Solve for x
    x = 7,927,524,153.60/102,920
  6. Step 6: Final answer
    x = 77,026.08

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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.