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Finding the Fourth Proportional to 12,596,646.30, 18,894,969.45 and 8,113,983.90

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Solution

The fourth proportional to 12,596,646.30, 18,894,969.45 and 8,113,983.90 is: 12,170,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596,646.30 : 18,894,969.45 = 8,113,983.90 : x
  2. Step 2: Convert to fraction form
    12,596,646.30/18,894,969.45 = 8,113,983.90/x
  3. Step 3: Cross multiply
    12,596,646.30x = 18,894,969.45 × 8,113,983.90
  4. Step 4: Simplify right side
    12,596,646.30x = 153,313,477,908,291.84
  5. Step 5: Solve for x
    x = 153,313,477,908,291.84/12,596,646.30
  6. Step 6: Final answer
    x = 12,170,975.85

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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.