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Finding the Fourth Proportional to 71,585.30, 107,368.14 and 39,623.49

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Solution

The fourth proportional to 71,585.30, 107,368.14 and 39,623.49 is: 59,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,585.30 : 107,368.14 = 39,623.49 : x
  2. Step 2: Convert to fraction form
    71,585.30/107,368.14 = 39,623.49/x
  3. Step 3: Cross multiply
    71,585.30x = 107,368.14 × 39,623.49
  4. Step 4: Simplify right side
    71,585.30x = 4,254,300,421.61
  5. Step 5: Solve for x
    x = 4,254,300,421.61/71,585.30
  6. Step 6: Final answer
    x = 59,429.81

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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.