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Finding the Fourth Proportional to 180,880.86, 249,630.75 and 105,434.22

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Solution

The fourth proportional to 180,880.86, 249,630.75 and 105,434.22 is: 145,508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,880.86 : 249,630.75 = 105,434.22 : x
  2. Step 2: Convert to fraction form
    180,880.86/249,630.75 = 105,434.22/x
  3. Step 3: Cross multiply
    180,880.86x = 249,630.75 × 105,434.22
  4. Step 4: Simplify right side
    180,880.86x = 26,319,623,414.27
  5. Step 5: Solve for x
    x = 26,319,623,414.27/180,880.86
  6. Step 6: Final answer
    x = 145,508.06

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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.