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Finding the Fourth Proportional to 76,203.76, 105,161.50 and 42,211.50

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Solution

The fourth proportional to 76,203.76, 105,161.50 and 42,211.50 is: 58,252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.76 : 105,161.50 = 42,211.50 : x
  2. Step 2: Convert to fraction form
    76,203.76/105,161.50 = 42,211.50/x
  3. Step 3: Cross multiply
    76,203.76x = 105,161.50 × 42,211.50
  4. Step 4: Simplify right side
    76,203.76x = 4,439,024,657.25
  5. Step 5: Solve for x
    x = 4,439,024,657.25/76,203.76
  6. Step 6: Final answer
    x = 58,252.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.