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Finding the Fourth Proportional to 145,141.86, 200,260.72 and 84,678

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Solution

The fourth proportional to 145,141.86, 200,260.72 and 84,678 is: 116,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,141.86 : 200,260.72 = 84,678 : x
  2. Step 2: Convert to fraction form
    145,141.86/200,260.72 = 84,678/x
  3. Step 3: Cross multiply
    145,141.86x = 200,260.72 × 84,678
  4. Step 4: Simplify right side
    145,141.86x = 16,957,677,248.16
  5. Step 5: Solve for x
    x = 16,957,677,248.16/145,141.86
  6. Step 6: Final answer
    x = 116,835.19

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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.