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Finding the Fourth Proportional to 102,148.40, 152,938.20 and 52,120.40

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Solution

The fourth proportional to 102,148.40, 152,938.20 and 52,120.40 is: 78,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,148.40 : 152,938.20 = 52,120.40 : x
  2. Step 2: Convert to fraction form
    102,148.40/152,938.20 = 52,120.40/x
  3. Step 3: Cross multiply
    102,148.40x = 152,938.20 × 52,120.40
  4. Step 4: Simplify right side
    102,148.40x = 7,971,200,159.28
  5. Step 5: Solve for x
    x = 7,971,200,159.28/102,148.40
  6. Step 6: Final answer
    x = 78,035.49

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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.