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Finding the Fourth Proportional to 180,855.36, 249,582.48 and 100,283.76

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Solution

The fourth proportional to 180,855.36, 249,582.48 and 100,283.76 is: 138,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,855.36 : 249,582.48 = 100,283.76 : x
  2. Step 2: Convert to fraction form
    180,855.36/249,582.48 = 100,283.76/x
  3. Step 3: Cross multiply
    180,855.36x = 249,582.48 × 100,283.76
  4. Step 4: Simplify right side
    180,855.36x = 25,029,069,524.52
  5. Step 5: Solve for x
    x = 25,029,069,524.52/180,855.36
  6. Step 6: Final answer
    x = 138,392.74

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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.