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Finding the Fourth Proportional to 70,135.65, 105,166.08 and 30,646.53

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Solution

The fourth proportional to 70,135.65, 105,166.08 and 30,646.53 is: 45,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,135.65 : 105,166.08 = 30,646.53 : x
  2. Step 2: Convert to fraction form
    70,135.65/105,166.08 = 30,646.53/x
  3. Step 3: Cross multiply
    70,135.65x = 105,166.08 × 30,646.53
  4. Step 4: Simplify right side
    70,135.65x = 3,222,975,425.70
  5. Step 5: Solve for x
    x = 3,222,975,425.70/70,135.65
  6. Step 6: Final answer
    x = 45,953.45

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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.