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Finding the Fourth Proportional to 180,767.84, 249,474.54 and 100,220.64

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Solution

The fourth proportional to 180,767.84, 249,474.54 and 100,220.64 is: 138,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,767.84 : 249,474.54 = 100,220.64 : x
  2. Step 2: Convert to fraction form
    180,767.84/249,474.54 = 100,220.64/x
  3. Step 3: Cross multiply
    180,767.84x = 249,474.54 × 100,220.64
  4. Step 4: Simplify right side
    180,767.84x = 25,002,498,062.51
  5. Step 5: Solve for x
    x = 25,002,498,062.51/180,767.84
  6. Step 6: Final answer
    x = 138,312.76

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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.