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Finding the Fourth Proportional to 70,877.68, 106,301.92 and 31,409.64

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Solution

The fourth proportional to 70,877.68, 106,301.92 and 31,409.64 is: 47,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,877.68 : 106,301.92 = 31,409.64 : x
  2. Step 2: Convert to fraction form
    70,877.68/106,301.92 = 31,409.64/x
  3. Step 3: Cross multiply
    70,877.68x = 106,301.92 × 31,409.64
  4. Step 4: Simplify right side
    70,877.68x = 3,338,905,038.51
  5. Step 5: Solve for x
    x = 3,338,905,038.51/70,877.68
  6. Step 6: Final answer
    x = 47,107.99

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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.