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Finding the Fourth Proportional to 70,563.84, 105,854.32 and 31,130.88

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Solution

The fourth proportional to 70,563.84, 105,854.32 and 31,130.88 is: 46,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,563.84 : 105,854.32 = 31,130.88 : x
  2. Step 2: Convert to fraction form
    70,563.84/105,854.32 = 31,130.88/x
  3. Step 3: Cross multiply
    70,563.84x = 105,854.32 × 31,130.88
  4. Step 4: Simplify right side
    70,563.84x = 3,295,338,133.40
  5. Step 5: Solve for x
    x = 3,295,338,133.40/70,563.84
  6. Step 6: Final answer
    x = 46,700.10

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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.