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Finding the Fourth Proportional to 162,381.81, 243,627.85 and 87,509.46

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Solution

The fourth proportional to 162,381.81, 243,627.85 and 87,509.46 is: 131,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,381.81 : 243,627.85 = 87,509.46 : x
  2. Step 2: Convert to fraction form
    162,381.81/243,627.85 = 87,509.46/x
  3. Step 3: Cross multiply
    162,381.81x = 243,627.85 × 87,509.46
  4. Step 4: Simplify right side
    162,381.81x = 21,319,742,617.45
  5. Step 5: Solve for x
    x = 21,319,742,617.45/162,381.81
  6. Step 6: Final answer
    x = 131,293.91

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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.