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Finding the Fourth Proportional to 77,000.40, 115,489.80 and 24,415.20

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Solution

The fourth proportional to 77,000.40, 115,489.80 and 24,415.20 is: 36,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,000.40 : 115,489.80 = 24,415.20 : x
  2. Step 2: Convert to fraction form
    77,000.40/115,489.80 = 24,415.20/x
  3. Step 3: Cross multiply
    77,000.40x = 115,489.80 × 24,415.20
  4. Step 4: Simplify right side
    77,000.40x = 2,819,706,564.96
  5. Step 5: Solve for x
    x = 2,819,706,564.96/77,000.40
  6. Step 6: Final answer
    x = 36,619.38

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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.