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Finding the Fourth Proportional to 128,803, 177,714.50 and 74,341.84

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Solution

The fourth proportional to 128,803, 177,714.50 and 74,341.84 is: 102,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,803 : 177,714.50 = 74,341.84 : x
  2. Step 2: Convert to fraction form
    128,803/177,714.50 = 74,341.84/x
  3. Step 3: Cross multiply
    128,803x = 177,714.50 × 74,341.84
  4. Step 4: Simplify right side
    128,803x = 13,211,622,924.68
  5. Step 5: Solve for x
    x = 13,211,622,924.68/128,803
  6. Step 6: Final answer
    x = 102,572.32

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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.