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Finding the Fourth Proportional to 102,652.80, 153,979.20 and 97,209.60

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Solution

The fourth proportional to 102,652.80, 153,979.20 and 97,209.60 is: 145,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,652.80 : 153,979.20 = 97,209.60 : x
  2. Step 2: Convert to fraction form
    102,652.80/153,979.20 = 97,209.60/x
  3. Step 3: Cross multiply
    102,652.80x = 153,979.20 × 97,209.60
  4. Step 4: Simplify right side
    102,652.80x = 14,968,256,440.32
  5. Step 5: Solve for x
    x = 14,968,256,440.32/102,652.80
  6. Step 6: Final answer
    x = 145,814.40

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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.