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Finding the Fourth Proportional to 138,325.86, 190,904.04 and 84,646.62

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Solution

The fourth proportional to 138,325.86, 190,904.04 and 84,646.62 is: 116,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,325.86 : 190,904.04 = 84,646.62 : x
  2. Step 2: Convert to fraction form
    138,325.86/190,904.04 = 84,646.62/x
  3. Step 3: Cross multiply
    138,325.86x = 190,904.04 × 84,646.62
  4. Step 4: Simplify right side
    138,325.86x = 16,159,381,730.34
  5. Step 5: Solve for x
    x = 16,159,381,730.34/138,325.86
  6. Step 6: Final answer
    x = 116,821.12

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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.