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Finding the Fourth Proportional to 20,742,809.30, 31,054,426.83 and 20,742,809.30

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Solution

The fourth proportional to 20,742,809.30, 31,054,426.83 and 20,742,809.30 is: 31,054,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742,809.30 : 31,054,426.83 = 20,742,809.30 : x
  2. Step 2: Convert to fraction form
    20,742,809.30/31,054,426.83 = 20,742,809.30/x
  3. Step 3: Cross multiply
    20,742,809.30x = 31,054,426.83 × 20,742,809.30
  4. Step 4: Simplify right side
    20,742,809.30x = 644,156,053,655,493.50
  5. Step 5: Solve for x
    x = 644,156,053,655,493.50/20,742,809.30
  6. Step 6: Final answer
    x = 31,054,426.83

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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.