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Finding the Fourth Proportional to 102,384.60, 153,807.30 and 98,467.80

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Solution

The fourth proportional to 102,384.60, 153,807.30 and 98,467.80 is: 147,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384.60 : 153,807.30 = 98,467.80 : x
  2. Step 2: Convert to fraction form
    102,384.60/153,807.30 = 98,467.80/x
  3. Step 3: Cross multiply
    102,384.60x = 153,807.30 × 98,467.80
  4. Step 4: Simplify right side
    102,384.60x = 15,145,066,454.94
  5. Step 5: Solve for x
    x = 15,145,066,454.94/102,384.60
  6. Step 6: Final answer
    x = 147,923.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.