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Finding the Fourth Proportional to 102,599.92, 141,272.08 and 87,458.64

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Solution

The fourth proportional to 102,599.92, 141,272.08 and 87,458.64 is: 120,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,599.92 : 141,272.08 = 87,458.64 : x
  2. Step 2: Convert to fraction form
    102,599.92/141,272.08 = 87,458.64/x
  3. Step 3: Cross multiply
    102,599.92x = 141,272.08 × 87,458.64
  4. Step 4: Simplify right side
    102,599.92x = 12,355,463,986.77
  5. Step 5: Solve for x
    x = 12,355,463,986.77/102,599.92
  6. Step 6: Final answer
    x = 120,423.72

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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.