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Finding the Fourth Proportional to 163,732.86, 225,931.14 and 103,280.67

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Solution

The fourth proportional to 163,732.86, 225,931.14 and 103,280.67 is: 142,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,732.86 : 225,931.14 = 103,280.67 : x
  2. Step 2: Convert to fraction form
    163,732.86/225,931.14 = 103,280.67/x
  3. Step 3: Cross multiply
    163,732.86x = 225,931.14 × 103,280.67
  4. Step 4: Simplify right side
    163,732.86x = 23,334,319,513.06
  5. Step 5: Solve for x
    x = 23,334,319,513.06/163,732.86
  6. Step 6: Final answer
    x = 142,514.58

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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.