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Finding the Fourth Proportional to 162,587.20, 243,880.80 and 57,416.80

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Solution

The fourth proportional to 162,587.20, 243,880.80 and 57,416.80 is: 86,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,587.20 : 243,880.80 = 57,416.80 : x
  2. Step 2: Convert to fraction form
    162,587.20/243,880.80 = 57,416.80/x
  3. Step 3: Cross multiply
    162,587.20x = 243,880.80 × 57,416.80
  4. Step 4: Simplify right side
    162,587.20x = 14,002,855,117.44
  5. Step 5: Solve for x
    x = 14,002,855,117.44/162,587.20
  6. Step 6: Final answer
    x = 86,125.20

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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.