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Finding the Fourth Proportional to 205,897.60, 284,124.90 and 115,238.08

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Solution

The fourth proportional to 205,897.60, 284,124.90 and 115,238.08 is: 159,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,897.60 : 284,124.90 = 115,238.08 : x
  2. Step 2: Convert to fraction form
    205,897.60/284,124.90 = 115,238.08/x
  3. Step 3: Cross multiply
    205,897.60x = 284,124.90 × 115,238.08
  4. Step 4: Simplify right side
    205,897.60x = 32,742,007,956.19
  5. Step 5: Solve for x
    x = 32,742,007,956.19/205,897.60
  6. Step 6: Final answer
    x = 159,020.83

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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.