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Finding the Fourth Proportional to 78,574.41, 108,432.36 and 42,764.67

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Solution

The fourth proportional to 78,574.41, 108,432.36 and 42,764.67 is: 59,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,574.41 : 108,432.36 = 42,764.67 : x
  2. Step 2: Convert to fraction form
    78,574.41/108,432.36 = 42,764.67/x
  3. Step 3: Cross multiply
    78,574.41x = 108,432.36 × 42,764.67
  4. Step 4: Simplify right side
    78,574.41x = 4,637,074,092.72
  5. Step 5: Solve for x
    x = 4,637,074,092.72/78,574.41
  6. Step 6: Final answer
    x = 59,015.07

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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.