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Finding the Fourth Proportional to 162,457.28, 243,685.92 and 87,639.20

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Solution

The fourth proportional to 162,457.28, 243,685.92 and 87,639.20 is: 131,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,457.28 : 243,685.92 = 87,639.20 : x
  2. Step 2: Convert to fraction form
    162,457.28/243,685.92 = 87,639.20/x
  3. Step 3: Cross multiply
    162,457.28x = 243,685.92 × 87,639.20
  4. Step 4: Simplify right side
    162,457.28x = 21,356,439,080.06
  5. Step 5: Solve for x
    x = 21,356,439,080.06/162,457.28
  6. Step 6: Final answer
    x = 131,458.80

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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.