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Finding the Fourth Proportional to 180,901.78, 249,627.96 and 100,329.06

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Solution

The fourth proportional to 180,901.78, 249,627.96 and 100,329.06 is: 138,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,901.78 : 249,627.96 = 100,329.06 : x
  2. Step 2: Convert to fraction form
    180,901.78/249,627.96 = 100,329.06/x
  3. Step 3: Cross multiply
    180,901.78x = 249,627.96 × 100,329.06
  4. Step 4: Simplify right side
    180,901.78x = 25,044,938,576.52
  5. Step 5: Solve for x
    x = 25,044,938,576.52/180,901.78
  6. Step 6: Final answer
    x = 138,444.95

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1.5x scale

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.