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Finding the Fourth Proportional to 77,702,977.80, 108,943,421.40 and 77,702,977.80

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Solution

The fourth proportional to 77,702,977.80, 108,943,421.40 and 77,702,977.80 is: 108,943,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702,977.80 : 108,943,421.40 = 77,702,977.80 : x
  2. Step 2: Convert to fraction form
    77,702,977.80/108,943,421.40 = 77,702,977.80/x
  3. Step 3: Cross multiply
    77,702,977.80x = 108,943,421.40 × 77,702,977.80
  4. Step 4: Simplify right side
    77,702,977.80x = 8,465,228,254,500,245
  5. Step 5: Solve for x
    x = 8,465,228,254,500,245/77,702,977.80
  6. Step 6: Final answer
    x = 108,943,421.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.