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Finding the Fourth Proportional to 40,748,978.88, 61,102,434.24 and 11,991,380.40

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Solution

The fourth proportional to 40,748,978.88, 61,102,434.24 and 11,991,380.40 is: 17,980,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,748,978.88 : 61,102,434.24 = 11,991,380.40 : x
  2. Step 2: Convert to fraction form
    40,748,978.88/61,102,434.24 = 11,991,380.40/x
  3. Step 3: Cross multiply
    40,748,978.88x = 61,102,434.24 × 11,991,380.40
  4. Step 4: Simplify right side
    40,748,978.88x = 732,702,532,337,825
  5. Step 5: Solve for x
    x = 732,702,532,337,825/40,748,978.88
  6. Step 6: Final answer
    x = 17,980,880.81

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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.