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Finding the Fourth Proportional to 180,943.71, 249,701.40 and 100,370.40

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Solution

The fourth proportional to 180,943.71, 249,701.40 and 100,370.40 is: 138,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,943.71 : 249,701.40 = 100,370.40 : x
  2. Step 2: Convert to fraction form
    180,943.71/249,701.40 = 100,370.40/x
  3. Step 3: Cross multiply
    180,943.71x = 249,701.40 × 100,370.40
  4. Step 4: Simplify right side
    180,943.71x = 25,062,629,398.56
  5. Step 5: Solve for x
    x = 25,062,629,398.56/180,943.71
  6. Step 6: Final answer
    x = 138,510.64

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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.