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Finding the Fourth Proportional to 229,698.16, 316,958.08 and 137,812.57

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Solution

The fourth proportional to 229,698.16, 316,958.08 and 137,812.57 is: 190,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,698.16 : 316,958.08 = 137,812.57 : x
  2. Step 2: Convert to fraction form
    229,698.16/316,958.08 = 137,812.57/x
  3. Step 3: Cross multiply
    229,698.16x = 316,958.08 × 137,812.57
  4. Step 4: Simplify right side
    229,698.16x = 43,680,806,002.28
  5. Step 5: Solve for x
    x = 43,680,806,002.28/229,698.16
  6. Step 6: Final answer
    x = 190,166.12

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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.