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Finding the Fourth Proportional to 70,349.81, 105,492.82 and 30,349.93

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Solution

The fourth proportional to 70,349.81, 105,492.82 and 30,349.93 is: 45,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,349.81 : 105,492.82 = 30,349.93 : x
  2. Step 2: Convert to fraction form
    70,349.81/105,492.82 = 30,349.93/x
  3. Step 3: Cross multiply
    70,349.81x = 105,492.82 × 30,349.93
  4. Step 4: Simplify right side
    70,349.81x = 3,201,699,702.50
  5. Step 5: Solve for x
    x = 3,201,699,702.50/70,349.81
  6. Step 6: Final answer
    x = 45,511.14

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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.