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Finding the Fourth Proportional to 76,728.76, 105,884.08 and 42,737.16

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Solution

The fourth proportional to 76,728.76, 105,884.08 and 42,737.16 is: 58,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728.76 : 105,884.08 = 42,737.16 : x
  2. Step 2: Convert to fraction form
    76,728.76/105,884.08 = 42,737.16/x
  3. Step 3: Cross multiply
    76,728.76x = 105,884.08 × 42,737.16
  4. Step 4: Simplify right side
    76,728.76x = 4,525,184,868.41
  5. Step 5: Solve for x
    x = 4,525,184,868.41/76,728.76
  6. Step 6: Final answer
    x = 58,976.38

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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.