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Finding the Fourth Proportional to 105,347.28, 158,083.28 and 38,834.16

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Solution

The fourth proportional to 105,347.28, 158,083.28 and 38,834.16 is: 58,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,347.28 : 158,083.28 = 38,834.16 : x
  2. Step 2: Convert to fraction form
    105,347.28/158,083.28 = 38,834.16/x
  3. Step 3: Cross multiply
    105,347.28x = 158,083.28 × 38,834.16
  4. Step 4: Simplify right side
    105,347.28x = 6,139,031,388.84
  5. Step 5: Solve for x
    x = 6,139,031,388.84/105,347.28
  6. Step 6: Final answer
    x = 58,274.23

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1.5x scale

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.