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Finding the Fourth Proportional to 180,533, 249,144.10 and 108,911.49

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Solution

The fourth proportional to 180,533, 249,144.10 and 108,911.49 is: 150,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,533 : 249,144.10 = 108,911.49 : x
  2. Step 2: Convert to fraction form
    180,533/249,144.10 = 108,911.49/x
  3. Step 3: Cross multiply
    180,533x = 249,144.10 × 108,911.49
  4. Step 4: Simplify right side
    180,533x = 27,134,655,155.71
  5. Step 5: Solve for x
    x = 27,134,655,155.71/180,533
  6. Step 6: Final answer
    x = 150,303.02

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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.