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Finding the Fourth Proportional to 180,980.71, 249,728.30 and 120,590.35

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Solution

The fourth proportional to 180,980.71, 249,728.30 and 120,590.35 is: 166,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,980.71 : 249,728.30 = 120,590.35 : x
  2. Step 2: Convert to fraction form
    180,980.71/249,728.30 = 120,590.35/x
  3. Step 3: Cross multiply
    180,980.71x = 249,728.30 × 120,590.35
  4. Step 4: Simplify right side
    180,980.71x = 30,114,822,326.85
  5. Step 5: Solve for x
    x = 30,114,822,326.85/180,980.71
  6. Step 6: Final answer
    x = 166,397.97

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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.