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Finding the Fourth Proportional to 180,785.52, 249,457.80 and 100,213

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Solution

The fourth proportional to 180,785.52, 249,457.80 and 100,213 is: 138,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,785.52 : 249,457.80 = 100,213 : x
  2. Step 2: Convert to fraction form
    180,785.52/249,457.80 = 100,213/x
  3. Step 3: Cross multiply
    180,785.52x = 249,457.80 × 100,213
  4. Step 4: Simplify right side
    180,785.52x = 24,998,914,511.40
  5. Step 5: Solve for x
    x = 24,998,914,511.40/180,785.52
  6. Step 6: Final answer
    x = 138,279.41

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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.