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Finding the Fourth Proportional to 188,407.50, 260,002.80 and 102,366.78

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Solution

The fourth proportional to 188,407.50, 260,002.80 and 102,366.78 is: 141,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,407.50 : 260,002.80 = 102,366.78 : x
  2. Step 2: Convert to fraction form
    188,407.50/260,002.80 = 102,366.78/x
  3. Step 3: Cross multiply
    188,407.50x = 260,002.80 × 102,366.78
  4. Step 4: Simplify right side
    188,407.50x = 26,615,649,426.98
  5. Step 5: Solve for x
    x = 26,615,649,426.98/188,407.50
  6. Step 6: Final answer
    x = 141,266.40

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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.