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Finding the Fourth Proportional to 180,903.85, 249,662.63 and 100,357.31

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Solution

The fourth proportional to 180,903.85, 249,662.63 and 100,357.31 is: 138,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,903.85 : 249,662.63 = 100,357.31 : x
  2. Step 2: Convert to fraction form
    180,903.85/249,662.63 = 100,357.31/x
  3. Step 3: Cross multiply
    180,903.85x = 249,662.63 × 100,357.31
  4. Step 4: Simplify right side
    180,903.85x = 25,055,470,547.12
  5. Step 5: Solve for x
    x = 25,055,470,547.12/180,903.85
  6. Step 6: Final answer
    x = 138,501.59

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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.