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Finding the Fourth Proportional to 254,289.90, 381,607.65 and 141,969.90

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Solution

The fourth proportional to 254,289.90, 381,607.65 and 141,969.90 is: 213,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,289.90 : 381,607.65 = 141,969.90 : x
  2. Step 2: Convert to fraction form
    254,289.90/381,607.65 = 141,969.90/x
  3. Step 3: Cross multiply
    254,289.90x = 381,607.65 × 141,969.90
  4. Step 4: Simplify right side
    254,289.90x = 54,176,799,909.74
  5. Step 5: Solve for x
    x = 54,176,799,909.74/254,289.90
  6. Step 6: Final answer
    x = 213,051.32

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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.