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Finding the Fourth Proportional to 119,407.80, 178,871.26 and 55,275.58

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Solution

The fourth proportional to 119,407.80, 178,871.26 and 55,275.58 is: 82,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,407.80 : 178,871.26 = 55,275.58 : x
  2. Step 2: Convert to fraction form
    119,407.80/178,871.26 = 55,275.58/x
  3. Step 3: Cross multiply
    119,407.80x = 178,871.26 × 55,275.58
  4. Step 4: Simplify right side
    119,407.80x = 9,887,212,641.83
  5. Step 5: Solve for x
    x = 9,887,212,641.83/119,407.80
  6. Step 6: Final answer
    x = 82,802.07

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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.