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Finding the Fourth Proportional to 42,978.08, 64,467.14 and 13,398.30

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Solution

The fourth proportional to 42,978.08, 64,467.14 and 13,398.30 is: 20,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,978.08 : 64,467.14 = 13,398.30 : x
  2. Step 2: Convert to fraction form
    42,978.08/64,467.14 = 13,398.30/x
  3. Step 3: Cross multiply
    42,978.08x = 64,467.14 × 13,398.30
  4. Step 4: Simplify right side
    42,978.08x = 863,750,014.87
  5. Step 5: Solve for x
    x = 863,750,014.87/42,978.08
  6. Step 6: Final answer
    x = 20,097.45

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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.