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Finding the Fourth Proportional to 147,216, 203,162.40 and 80,152.32

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Solution

The fourth proportional to 147,216, 203,162.40 and 80,152.32 is: 110,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,216 : 203,162.40 = 80,152.32 : x
  2. Step 2: Convert to fraction form
    147,216/203,162.40 = 80,152.32/x
  3. Step 3: Cross multiply
    147,216x = 203,162.40 × 80,152.32
  4. Step 4: Simplify right side
    147,216x = 16,283,937,696.77
  5. Step 5: Solve for x
    x = 16,283,937,696.77/147,216
  6. Step 6: Final answer
    x = 110,612.55

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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.