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Finding the Fourth Proportional to 162,686.64, 243,986.22 and 57,477.36

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Solution

The fourth proportional to 162,686.64, 243,986.22 and 57,477.36 is: 86,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,686.64 : 243,986.22 = 57,477.36 : x
  2. Step 2: Convert to fraction form
    162,686.64/243,986.22 = 57,477.36/x
  3. Step 3: Cross multiply
    162,686.64x = 243,986.22 × 57,477.36
  4. Step 4: Simplify right side
    162,686.64x = 14,023,683,801.98
  5. Step 5: Solve for x
    x = 14,023,683,801.98/162,686.64
  6. Step 6: Final answer
    x = 86,200.59

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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.