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Finding the Fourth Proportional to 102,002.90, 152,899.05 and 45,869.90

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Solution

The fourth proportional to 102,002.90, 152,899.05 and 45,869.90 is: 68,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.90 : 152,899.05 = 45,869.90 : x
  2. Step 2: Convert to fraction form
    102,002.90/152,899.05 = 45,869.90/x
  3. Step 3: Cross multiply
    102,002.90x = 152,899.05 × 45,869.90
  4. Step 4: Simplify right side
    102,002.90x = 7,013,464,133.60
  5. Step 5: Solve for x
    x = 7,013,464,133.60/102,002.90
  6. Step 6: Final answer
    x = 68,757.50

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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.