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Finding the Fourth Proportional to 180,642.34, 249,282.75 and 100,068.58

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Solution

The fourth proportional to 180,642.34, 249,282.75 and 100,068.58 is: 138,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,642.34 : 249,282.75 = 100,068.58 : x
  2. Step 2: Convert to fraction form
    180,642.34/249,282.75 = 100,068.58/x
  3. Step 3: Cross multiply
    180,642.34x = 249,282.75 × 100,068.58
  4. Step 4: Simplify right side
    180,642.34x = 24,945,370,811.00
  5. Step 5: Solve for x
    x = 24,945,370,811.00/180,642.34
  6. Step 6: Final answer
    x = 138,092.60

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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.