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Finding the Fourth Proportional to 180,663.93, 249,296.04 and 100,071.46

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Solution

The fourth proportional to 180,663.93, 249,296.04 and 100,071.46 is: 138,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,663.93 : 249,296.04 = 100,071.46 : x
  2. Step 2: Convert to fraction form
    180,663.93/249,296.04 = 100,071.46/x
  3. Step 3: Cross multiply
    180,663.93x = 249,296.04 × 100,071.46
  4. Step 4: Simplify right side
    180,663.93x = 24,947,418,695.02
  5. Step 5: Solve for x
    x = 24,947,418,695.02/180,663.93
  6. Step 6: Final answer
    x = 138,087.44

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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.