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Finding the Fourth Proportional to 144,003.90, 215,730.45 and 77,421.90

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Solution

The fourth proportional to 144,003.90, 215,730.45 and 77,421.90 is: 115,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,003.90 : 215,730.45 = 77,421.90 : x
  2. Step 2: Convert to fraction form
    144,003.90/215,730.45 = 77,421.90/x
  3. Step 3: Cross multiply
    144,003.90x = 215,730.45 × 77,421.90
  4. Step 4: Simplify right side
    144,003.90x = 16,702,261,326.86
  5. Step 5: Solve for x
    x = 16,702,261,326.86/144,003.90
  6. Step 6: Final answer
    x = 115,984.78

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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.