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Finding the Fourth Proportional to 229,613.42, 316,737.09 and 137,708.26

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Solution

The fourth proportional to 229,613.42, 316,737.09 and 137,708.26 is: 189,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,613.42 : 316,737.09 = 137,708.26 : x
  2. Step 2: Convert to fraction form
    229,613.42/316,737.09 = 137,708.26/x
  3. Step 3: Cross multiply
    229,613.42x = 316,737.09 × 137,708.26
  4. Step 4: Simplify right side
    229,613.42x = 43,617,312,749.52
  5. Step 5: Solve for x
    x = 43,617,312,749.52/229,613.42
  6. Step 6: Final answer
    x = 189,959.77

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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.