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Finding the Fourth Proportional to 30,336, 41,875.20 and 20,405.76

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Solution

The fourth proportional to 30,336, 41,875.20 and 20,405.76 is: 28,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,336 : 41,875.20 = 20,405.76 : x
  2. Step 2: Convert to fraction form
    30,336/41,875.20 = 20,405.76/x
  3. Step 3: Cross multiply
    30,336x = 41,875.20 × 20,405.76
  4. Step 4: Simplify right side
    30,336x = 854,495,281.15
  5. Step 5: Solve for x
    x = 854,495,281.15/30,336
  6. Step 6: Final answer
    x = 28,167.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.