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Finding the Fourth Proportional to 229,101.34, 316,144.64 and 127,120.32

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Solution

The fourth proportional to 229,101.34, 316,144.64 and 127,120.32 is: 175,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,101.34 : 316,144.64 = 127,120.32 : x
  2. Step 2: Convert to fraction form
    229,101.34/316,144.64 = 127,120.32/x
  3. Step 3: Cross multiply
    229,101.34x = 316,144.64 × 127,120.32
  4. Step 4: Simplify right side
    229,101.34x = 40,188,407,803.08
  5. Step 5: Solve for x
    x = 40,188,407,803.08/229,101.34
  6. Step 6: Final answer
    x = 175,417.60

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1.5x scale

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.