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Finding the Fourth Proportional to 78,538.41, 108,384.30 and 42,728.45

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Solution

The fourth proportional to 78,538.41, 108,384.30 and 42,728.45 is: 58,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.41 : 108,384.30 = 42,728.45 : x
  2. Step 2: Convert to fraction form
    78,538.41/108,384.30 = 42,728.45/x
  3. Step 3: Cross multiply
    78,538.41x = 108,384.30 × 42,728.45
  4. Step 4: Simplify right side
    78,538.41x = 4,631,092,601.41
  5. Step 5: Solve for x
    x = 4,631,092,601.41/78,538.41
  6. Step 6: Final answer
    x = 58,965.96

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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.