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Finding the Fourth Proportional to 180,555.22, 249,163.14 and 99,981

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Solution

The fourth proportional to 180,555.22, 249,163.14 and 99,981 is: 137,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,555.22 : 249,163.14 = 99,981 : x
  2. Step 2: Convert to fraction form
    180,555.22/249,163.14 = 99,981/x
  3. Step 3: Cross multiply
    180,555.22x = 249,163.14 × 99,981
  4. Step 4: Simplify right side
    180,555.22x = 24,911,579,900.34
  5. Step 5: Solve for x
    x = 24,911,579,900.34/180,555.22
  6. Step 6: Final answer
    x = 137,972.08

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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.