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Finding the Fourth Proportional to 102,620.80, 153,931.20 and 98,684.20

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Solution

The fourth proportional to 102,620.80, 153,931.20 and 98,684.20 is: 148,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,620.80 : 153,931.20 = 98,684.20 : x
  2. Step 2: Convert to fraction form
    102,620.80/153,931.20 = 98,684.20/x
  3. Step 3: Cross multiply
    102,620.80x = 153,931.20 × 98,684.20
  4. Step 4: Simplify right side
    102,620.80x = 15,190,577,327.04
  5. Step 5: Solve for x
    x = 15,190,577,327.04/102,620.80
  6. Step 6: Final answer
    x = 148,026.30

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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.