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Finding the Fourth Proportional to 76,200.40, 114,300.60 and 31,812.40

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Solution

The fourth proportional to 76,200.40, 114,300.60 and 31,812.40 is: 47,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200.40 : 114,300.60 = 31,812.40 : x
  2. Step 2: Convert to fraction form
    76,200.40/114,300.60 = 31,812.40/x
  3. Step 3: Cross multiply
    76,200.40x = 114,300.60 × 31,812.40
  4. Step 4: Simplify right side
    76,200.40x = 3,636,176,407.44
  5. Step 5: Solve for x
    x = 3,636,176,407.44/76,200.40
  6. Step 6: Final answer
    x = 47,718.60

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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.