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Finding the Fourth Proportional to 93,863.76, 129,532 and 56,138

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Solution

The fourth proportional to 93,863.76, 129,532 and 56,138 is: 77,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,863.76 : 129,532 = 56,138 : x
  2. Step 2: Convert to fraction form
    93,863.76/129,532 = 56,138/x
  3. Step 3: Cross multiply
    93,863.76x = 129,532 × 56,138
  4. Step 4: Simplify right side
    93,863.76x = 7,271,667,416
  5. Step 5: Solve for x
    x = 7,271,667,416/93,863.76
  6. Step 6: Final answer
    x = 77,470.45

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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.