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Finding the Fourth Proportional to 102,056.64, 153,088.02 and 84,424.96

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Solution

The fourth proportional to 102,056.64, 153,088.02 and 84,424.96 is: 126,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,056.64 : 153,088.02 = 84,424.96 : x
  2. Step 2: Convert to fraction form
    102,056.64/153,088.02 = 84,424.96/x
  3. Step 3: Cross multiply
    102,056.64x = 153,088.02 × 84,424.96
  4. Step 4: Simplify right side
    102,056.64x = 12,924,449,542.85
  5. Step 5: Solve for x
    x = 12,924,449,542.85/102,056.64
  6. Step 6: Final answer
    x = 126,639.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.