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Finding the Fourth Proportional to 208,054.40, 312,038.40 and 89,729.60

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Solution

The fourth proportional to 208,054.40, 312,038.40 and 89,729.60 is: 134,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,054.40 : 312,038.40 = 89,729.60 : x
  2. Step 2: Convert to fraction form
    208,054.40/312,038.40 = 89,729.60/x
  3. Step 3: Cross multiply
    208,054.40x = 312,038.40 × 89,729.60
  4. Step 4: Simplify right side
    208,054.40x = 27,999,080,816.64
  5. Step 5: Solve for x
    x = 27,999,080,816.64/208,054.40
  6. Step 6: Final answer
    x = 134,575.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.