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Finding the Fourth Proportional to 118,742.40, 178,048.80 and 48,542.40

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Solution

The fourth proportional to 118,742.40, 178,048.80 and 48,542.40 is: 72,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,742.40 : 178,048.80 = 48,542.40 : x
  2. Step 2: Convert to fraction form
    118,742.40/178,048.80 = 48,542.40/x
  3. Step 3: Cross multiply
    118,742.40x = 178,048.80 × 48,542.40
  4. Step 4: Simplify right side
    118,742.40x = 8,642,916,069.12
  5. Step 5: Solve for x
    x = 8,642,916,069.12/118,742.40
  6. Step 6: Final answer
    x = 72,787.11

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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.