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Finding the Fourth Proportional to 306,141.21, 459,203.35 and 81,503.59

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Solution

The fourth proportional to 306,141.21, 459,203.35 and 81,503.59 is: 122,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,141.21 : 459,203.35 = 81,503.59 : x
  2. Step 2: Convert to fraction form
    306,141.21/459,203.35 = 81,503.59/x
  3. Step 3: Cross multiply
    306,141.21x = 459,203.35 × 81,503.59
  4. Step 4: Simplify right side
    306,141.21x = 37,426,721,565.03
  5. Step 5: Solve for x
    x = 37,426,721,565.03/306,141.21
  6. Step 6: Final answer
    x = 122,253.13

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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.