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Finding the Fourth Proportional to 102,154.90, 153,133.82 and 52,258.50

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Solution

The fourth proportional to 102,154.90, 153,133.82 and 52,258.50 is: 78,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,154.90 : 153,133.82 = 52,258.50 : x
  2. Step 2: Convert to fraction form
    102,154.90/153,133.82 = 52,258.50/x
  3. Step 3: Cross multiply
    102,154.90x = 153,133.82 × 52,258.50
  4. Step 4: Simplify right side
    102,154.90x = 8,002,543,732.47
  5. Step 5: Solve for x
    x = 8,002,543,732.47/102,154.90
  6. Step 6: Final answer
    x = 78,337.35

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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.