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Finding the Fourth Proportional to 76,706.64, 105,846.57 and 42,707.28

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Solution

The fourth proportional to 76,706.64, 105,846.57 and 42,707.28 is: 58,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,706.64 : 105,846.57 = 42,707.28 : x
  2. Step 2: Convert to fraction form
    76,706.64/105,846.57 = 42,707.28/x
  3. Step 3: Cross multiply
    76,706.64x = 105,846.57 × 42,707.28
  4. Step 4: Simplify right side
    76,706.64x = 4,520,419,102.03
  5. Step 5: Solve for x
    x = 4,520,419,102.03/76,706.64
  6. Step 6: Final answer
    x = 58,931.26

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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.