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Finding the Fourth Proportional to 105,334.71, 157,969.94 and 55,387.71

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Solution

The fourth proportional to 105,334.71, 157,969.94 and 55,387.71 is: 83,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,334.71 : 157,969.94 = 55,387.71 : x
  2. Step 2: Convert to fraction form
    105,334.71/157,969.94 = 55,387.71/x
  3. Step 3: Cross multiply
    105,334.71x = 157,969.94 × 55,387.71
  4. Step 4: Simplify right side
    105,334.71x = 8,749,592,948.50
  5. Step 5: Solve for x
    x = 8,749,592,948.50/105,334.71
  6. Step 6: Final answer
    x = 83,064.67

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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.