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Finding the Fourth Proportional to 229,732.62, 316,984.55 and 134,220.86

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Solution

The fourth proportional to 229,732.62, 316,984.55 and 134,220.86 is: 185,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,732.62 : 316,984.55 = 134,220.86 : x
  2. Step 2: Convert to fraction form
    229,732.62/316,984.55 = 134,220.86/x
  3. Step 3: Cross multiply
    229,732.62x = 316,984.55 × 134,220.86
  4. Step 4: Simplify right side
    229,732.62x = 42,545,938,907.71
  5. Step 5: Solve for x
    x = 42,545,938,907.71/229,732.62
  6. Step 6: Final answer
    x = 185,197.64

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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.