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Finding the Fourth Proportional to 229,762.86, 317,069.92 and 129,160.86

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Solution

The fourth proportional to 229,762.86, 317,069.92 and 129,160.86 is: 178,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,762.86 : 317,069.92 = 129,160.86 : x
  2. Step 2: Convert to fraction form
    229,762.86/317,069.92 = 129,160.86/x
  3. Step 3: Cross multiply
    229,762.86x = 317,069.92 × 129,160.86
  4. Step 4: Simplify right side
    229,762.86x = 40,953,023,547.33
  5. Step 5: Solve for x
    x = 40,953,023,547.33/229,762.86
  6. Step 6: Final answer
    x = 178,240.40

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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.