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Finding the Fourth Proportional to 188,440.32, 260,048.64 and 102,399.98

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Solution

The fourth proportional to 188,440.32, 260,048.64 and 102,399.98 is: 141,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,440.32 : 260,048.64 = 102,399.98 : x
  2. Step 2: Convert to fraction form
    188,440.32/260,048.64 = 102,399.98/x
  3. Step 3: Cross multiply
    188,440.32x = 260,048.64 × 102,399.98
  4. Step 4: Simplify right side
    188,440.32x = 26,628,974,234.78
  5. Step 5: Solve for x
    x = 26,628,974,234.78/188,440.32
  6. Step 6: Final answer
    x = 141,312.51

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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.