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Finding the Fourth Proportional to 76,106.50, 105,026.97 and 42,572.50

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Solution

The fourth proportional to 76,106.50, 105,026.97 and 42,572.50 is: 58,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106.50 : 105,026.97 = 42,572.50 : x
  2. Step 2: Convert to fraction form
    76,106.50/105,026.97 = 42,572.50/x
  3. Step 3: Cross multiply
    76,106.50x = 105,026.97 × 42,572.50
  4. Step 4: Simplify right side
    76,106.50x = 4,471,260,680.33
  5. Step 5: Solve for x
    x = 4,471,260,680.33/76,106.50
  6. Step 6: Final answer
    x = 58,750.05

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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.