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Finding the Fourth Proportional to 76,801,905.70, 115,202,969.40 and 31,363,700.20

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Solution

The fourth proportional to 76,801,905.70, 115,202,969.40 and 31,363,700.20 is: 47,045,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,801,905.70 : 115,202,969.40 = 31,363,700.20 : x
  2. Step 2: Convert to fraction form
    76,801,905.70/115,202,969.40 = 31,363,700.20/x
  3. Step 3: Cross multiply
    76,801,905.70x = 115,202,969.40 × 31,363,700.20
  4. Step 4: Simplify right side
    76,801,905.70x = 3,613,191,394,411,374
  5. Step 5: Solve for x
    x = 3,613,191,394,411,374/76,801,905.70
  6. Step 6: Final answer
    x = 47,045,595.57

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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.