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Finding the Fourth Proportional to 42,308.40, 63,419.40 and 24,769.20

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Solution

The fourth proportional to 42,308.40, 63,419.40 and 24,769.20 is: 37,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,308.40 : 63,419.40 = 24,769.20 : x
  2. Step 2: Convert to fraction form
    42,308.40/63,419.40 = 24,769.20/x
  3. Step 3: Cross multiply
    42,308.40x = 63,419.40 × 24,769.20
  4. Step 4: Simplify right side
    42,308.40x = 1,570,847,802.48
  5. Step 5: Solve for x
    x = 1,570,847,802.48/42,308.40
  6. Step 6: Final answer
    x = 37,128.51

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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.