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Finding the Fourth Proportional to 119,804.84, 165,359.50 and 72,048.96

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Solution

The fourth proportional to 119,804.84, 165,359.50 and 72,048.96 is: 99,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,804.84 : 165,359.50 = 72,048.96 : x
  2. Step 2: Convert to fraction form
    119,804.84/165,359.50 = 72,048.96/x
  3. Step 3: Cross multiply
    119,804.84x = 165,359.50 × 72,048.96
  4. Step 4: Simplify right side
    119,804.84x = 11,913,980,001.12
  5. Step 5: Solve for x
    x = 11,913,980,001.12/119,804.84
  6. Step 6: Final answer
    x = 99,444.90

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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.