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Finding the Fourth Proportional to 288,107.72, 432,207.66 and 121,897.16

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Solution

The fourth proportional to 288,107.72, 432,207.66 and 121,897.16 is: 182,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,107.72 : 432,207.66 = 121,897.16 : x
  2. Step 2: Convert to fraction form
    288,107.72/432,207.66 = 121,897.16/x
  3. Step 3: Cross multiply
    288,107.72x = 432,207.66 × 121,897.16
  4. Step 4: Simplify right side
    288,107.72x = 52,684,886,284.25
  5. Step 5: Solve for x
    x = 52,684,886,284.25/288,107.72
  6. Step 6: Final answer
    x = 182,865.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.