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Finding the Fourth Proportional to 42,486.96, 63,730.44 and 14,407.11

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Solution

The fourth proportional to 42,486.96, 63,730.44 and 14,407.11 is: 21,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,486.96 : 63,730.44 = 14,407.11 : x
  2. Step 2: Convert to fraction form
    42,486.96/63,730.44 = 14,407.11/x
  3. Step 3: Cross multiply
    42,486.96x = 63,730.44 × 14,407.11
  4. Step 4: Simplify right side
    42,486.96x = 918,171,459.43
  5. Step 5: Solve for x
    x = 918,171,459.43/42,486.96
  6. Step 6: Final answer
    x = 21,610.67

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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.