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Finding the Fourth Proportional to 102,541.60, 153,812.40 and 47,245.60

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Solution

The fourth proportional to 102,541.60, 153,812.40 and 47,245.60 is: 70,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,541.60 : 153,812.40 = 47,245.60 : x
  2. Step 2: Convert to fraction form
    102,541.60/153,812.40 = 47,245.60/x
  3. Step 3: Cross multiply
    102,541.60x = 153,812.40 × 47,245.60
  4. Step 4: Simplify right side
    102,541.60x = 7,266,959,125.44
  5. Step 5: Solve for x
    x = 7,266,959,125.44/102,541.60
  6. Step 6: Final answer
    x = 70,868.40

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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.