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Finding the Fourth Proportional to 105,290.84, 145,207.30 and 87,357.44

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Solution

The fourth proportional to 105,290.84, 145,207.30 and 87,357.44 is: 120,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,290.84 : 145,207.30 = 87,357.44 : x
  2. Step 2: Convert to fraction form
    105,290.84/145,207.30 = 87,357.44/x
  3. Step 3: Cross multiply
    105,290.84x = 145,207.30 × 87,357.44
  4. Step 4: Simplify right side
    105,290.84x = 12,684,937,997.31
  5. Step 5: Solve for x
    x = 12,684,937,997.31/105,290.84
  6. Step 6: Final answer
    x = 120,475.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.