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Finding the Fourth Proportional to 105,352.71, 157,955.25 and 38,784.21

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Solution

The fourth proportional to 105,352.71, 157,955.25 and 38,784.21 is: 58,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,352.71 : 157,955.25 = 38,784.21 : x
  2. Step 2: Convert to fraction form
    105,352.71/157,955.25 = 38,784.21/x
  3. Step 3: Cross multiply
    105,352.71x = 157,955.25 × 38,784.21
  4. Step 4: Simplify right side
    105,352.71x = 6,126,169,586.60
  5. Step 5: Solve for x
    x = 6,126,169,586.60/105,352.71
  6. Step 6: Final answer
    x = 58,149.14

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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.