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Finding the Fourth Proportional to 100,509.48, 138,658.68 and 62,258.94

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Solution

The fourth proportional to 100,509.48, 138,658.68 and 62,258.94 is: 85,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.48 : 138,658.68 = 62,258.94 : x
  2. Step 2: Convert to fraction form
    100,509.48/138,658.68 = 62,258.94/x
  3. Step 3: Cross multiply
    100,509.48x = 138,658.68 × 62,258.94
  4. Step 4: Simplify right side
    100,509.48x = 8,632,742,438.60
  5. Step 5: Solve for x
    x = 8,632,742,438.60/100,509.48
  6. Step 6: Final answer
    x = 85,889.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.