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Finding the Fourth Proportional to 115,293.40, 172,964.40 and 36,415.60

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Solution

The fourth proportional to 115,293.40, 172,964.40 and 36,415.60 is: 54,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,293.40 : 172,964.40 = 36,415.60 : x
  2. Step 2: Convert to fraction form
    115,293.40/172,964.40 = 36,415.60/x
  3. Step 3: Cross multiply
    115,293.40x = 172,964.40 × 36,415.60
  4. Step 4: Simplify right side
    115,293.40x = 6,298,602,404.64
  5. Step 5: Solve for x
    x = 6,298,602,404.64/115,293.40
  6. Step 6: Final answer
    x = 54,631.08

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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.