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Finding the Fourth Proportional to 30,521,978.70, 45,782,968.05 and 11,348,768.40

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Solution

The fourth proportional to 30,521,978.70, 45,782,968.05 and 11,348,768.40 is: 17,023,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521,978.70 : 45,782,968.05 = 11,348,768.40 : x
  2. Step 2: Convert to fraction form
    30,521,978.70/45,782,968.05 = 11,348,768.40/x
  3. Step 3: Cross multiply
    30,521,978.70x = 45,782,968.05 × 11,348,768.40
  4. Step 4: Simplify right side
    30,521,978.70x = 519,580,301,064,049.62
  5. Step 5: Solve for x
    x = 519,580,301,064,049.62/30,521,978.70
  6. Step 6: Final answer
    x = 17,023,152.60

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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.