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Finding the Fourth Proportional to 70,405.74, 105,472.49 and 39,146.22

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Solution

The fourth proportional to 70,405.74, 105,472.49 and 39,146.22 is: 58,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,405.74 : 105,472.49 = 39,146.22 : x
  2. Step 2: Convert to fraction form
    70,405.74/105,472.49 = 39,146.22/x
  3. Step 3: Cross multiply
    70,405.74x = 105,472.49 × 39,146.22
  4. Step 4: Simplify right side
    70,405.74x = 4,128,849,101.76
  5. Step 5: Solve for x
    x = 4,128,849,101.76/70,405.74
  6. Step 6: Final answer
    x = 58,643.64

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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.