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Finding the Fourth Proportional to 30,543,294.66, 45,814,954.95 and 8,977,897.86

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Solution

The fourth proportional to 30,543,294.66, 45,814,954.95 and 8,977,897.86 is: 13,466,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543,294.66 : 45,814,954.95 = 8,977,897.86 : x
  2. Step 2: Convert to fraction form
    30,543,294.66/45,814,954.95 = 8,977,897.86/x
  3. Step 3: Cross multiply
    30,543,294.66x = 45,814,954.95 × 8,977,897.86
  4. Step 4: Simplify right side
    30,543,294.66x = 411,321,986,001,601.44
  5. Step 5: Solve for x
    x = 411,321,986,001,601.44/30,543,294.66
  6. Step 6: Final answer
    x = 13,466,850.60

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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.