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Finding the Fourth Proportional to 105,417.71, 158,083.07 and 40,492.31

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Solution

The fourth proportional to 105,417.71, 158,083.07 and 40,492.31 is: 60,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,417.71 : 158,083.07 = 40,492.31 : x
  2. Step 2: Convert to fraction form
    105,417.71/158,083.07 = 40,492.31/x
  3. Step 3: Cross multiply
    105,417.71x = 158,083.07 × 40,492.31
  4. Step 4: Simplify right side
    105,417.71x = 6,401,147,911.08
  5. Step 5: Solve for x
    x = 6,401,147,911.08/105,417.71
  6. Step 6: Final answer
    x = 60,721.75

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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.