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Finding the Fourth Proportional to 102,655.40, 153,999.30 and 32,541.80

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Solution

The fourth proportional to 102,655.40, 153,999.30 and 32,541.80 is: 48,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,655.40 : 153,999.30 = 32,541.80 : x
  2. Step 2: Convert to fraction form
    102,655.40/153,999.30 = 32,541.80/x
  3. Step 3: Cross multiply
    102,655.40x = 153,999.30 × 32,541.80
  4. Step 4: Simplify right side
    102,655.40x = 5,011,414,420.74
  5. Step 5: Solve for x
    x = 5,011,414,420.74/102,655.40
  6. Step 6: Final answer
    x = 48,817.84

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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.