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Finding the Fourth Proportional to 10,369,978.20, 15,554,967.30 and 8,205,139.80

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Solution

The fourth proportional to 10,369,978.20, 15,554,967.30 and 8,205,139.80 is: 12,307,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369,978.20 : 15,554,967.30 = 8,205,139.80 : x
  2. Step 2: Convert to fraction form
    10,369,978.20/15,554,967.30 = 8,205,139.80/x
  3. Step 3: Cross multiply
    10,369,978.20x = 15,554,967.30 × 8,205,139.80
  4. Step 4: Simplify right side
    10,369,978.20x = 127,630,681,280,928.55
  5. Step 5: Solve for x
    x = 127,630,681,280,928.55/10,369,978.20
  6. Step 6: Final answer
    x = 12,307,709.70

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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.