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Finding the Fourth Proportional to 180,470.39, 249,046.12 and 99,896.19

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Solution

The fourth proportional to 180,470.39, 249,046.12 and 99,896.19 is: 137,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,470.39 : 249,046.12 = 99,896.19 : x
  2. Step 2: Convert to fraction form
    180,470.39/249,046.12 = 99,896.19/x
  3. Step 3: Cross multiply
    180,470.39x = 249,046.12 × 99,896.19
  4. Step 4: Simplify right side
    180,470.39x = 24,878,756,777.57
  5. Step 5: Solve for x
    x = 24,878,756,777.57/180,470.39
  6. Step 6: Final answer
    x = 137,855.07

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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.