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Finding the Fourth Proportional to 180,962, 249,727.80 and 100,386.80

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Solution

The fourth proportional to 180,962, 249,727.80 and 100,386.80 is: 138,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,962 : 249,727.80 = 100,386.80 : x
  2. Step 2: Convert to fraction form
    180,962/249,727.80 = 100,386.80/x
  3. Step 3: Cross multiply
    180,962x = 249,727.80 × 100,386.80
  4. Step 4: Simplify right side
    180,962x = 25,069,374,713.04
  5. Step 5: Solve for x
    x = 25,069,374,713.04/180,962
  6. Step 6: Final answer
    x = 138,533.92

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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.