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Finding the Fourth Proportional to 180,992.94, 249,774.30 and 100,417.47

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Solution

The fourth proportional to 180,992.94, 249,774.30 and 100,417.47 is: 138,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,992.94 : 249,774.30 = 100,417.47 : x
  2. Step 2: Convert to fraction form
    180,992.94/249,774.30 = 100,417.47/x
  3. Step 3: Cross multiply
    180,992.94x = 249,774.30 × 100,417.47
  4. Step 4: Simplify right side
    180,992.94x = 25,081,703,277.02
  5. Step 5: Solve for x
    x = 25,081,703,277.02/180,992.94
  6. Step 6: Final answer
    x = 138,578.35

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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.