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Finding the Fourth Proportional to 229,256.72, 316,359.24 and 133,748

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Solution

The fourth proportional to 229,256.72, 316,359.24 and 133,748 is: 184,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,256.72 : 316,359.24 = 133,748 : x
  2. Step 2: Convert to fraction form
    229,256.72/316,359.24 = 133,748/x
  3. Step 3: Cross multiply
    229,256.72x = 316,359.24 × 133,748
  4. Step 4: Simplify right side
    229,256.72x = 42,312,415,631.52
  5. Step 5: Solve for x
    x = 42,312,415,631.52/229,256.72
  6. Step 6: Final answer
    x = 184,563.47

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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.