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Finding the Fourth Proportional to 20,896,766.81, 31,347,643.05 and 10,106,314.01

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Solution

The fourth proportional to 20,896,766.81, 31,347,643.05 and 10,106,314.01 is: 15,160,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896,766.81 : 31,347,643.05 = 10,106,314.01 : x
  2. Step 2: Convert to fraction form
    20,896,766.81/31,347,643.05 = 10,106,314.01/x
  3. Step 3: Cross multiply
    20,896,766.81x = 31,347,643.05 × 10,106,314.01
  4. Step 4: Simplify right side
    20,896,766.81x = 316,809,123,929,424.38
  5. Step 5: Solve for x
    x = 316,809,123,929,424.38/20,896,766.81
  6. Step 6: Final answer
    x = 15,160,676.62

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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.