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Finding the Fourth Proportional to 162,838.40, 244,315.20 and 157,078.40

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Solution

The fourth proportional to 162,838.40, 244,315.20 and 157,078.40 is: 235,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,838.40 : 244,315.20 = 157,078.40 : x
  2. Step 2: Convert to fraction form
    162,838.40/244,315.20 = 157,078.40/x
  3. Step 3: Cross multiply
    162,838.40x = 244,315.20 × 157,078.40
  4. Step 4: Simplify right side
    162,838.40x = 38,376,640,711.68
  5. Step 5: Solve for x
    x = 38,376,640,711.68/162,838.40
  6. Step 6: Final answer
    x = 235,673.16

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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.