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Finding the Fourth Proportional to 147,488, 203,533.44 and 80,420.16

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Solution

The fourth proportional to 147,488, 203,533.44 and 80,420.16 is: 110,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,488 : 203,533.44 = 80,420.16 : x
  2. Step 2: Convert to fraction form
    147,488/203,533.44 = 80,420.16/x
  3. Step 3: Cross multiply
    147,488x = 203,533.44 × 80,420.16
  4. Step 4: Simplify right side
    147,488x = 16,368,191,810.15
  5. Step 5: Solve for x
    x = 16,368,191,810.15/147,488
  6. Step 6: Final answer
    x = 110,979.82

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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.