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Finding the Fourth Proportional to 144,064.80, 215,967.60 and 91,447.20

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Solution

The fourth proportional to 144,064.80, 215,967.60 and 91,447.20 is: 137,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,064.80 : 215,967.60 = 91,447.20 : x
  2. Step 2: Convert to fraction form
    144,064.80/215,967.60 = 91,447.20/x
  3. Step 3: Cross multiply
    144,064.80x = 215,967.60 × 91,447.20
  4. Step 4: Simplify right side
    144,064.80x = 19,749,632,310.72
  5. Step 5: Solve for x
    x = 19,749,632,310.72/144,064.80
  6. Step 6: Final answer
    x = 137,088.53

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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.