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Finding the Fourth Proportional to 102,946.70, 154,420.05 and 36,386.30

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Solution

The fourth proportional to 102,946.70, 154,420.05 and 36,386.30 is: 54,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,946.70 : 154,420.05 = 36,386.30 : x
  2. Step 2: Convert to fraction form
    102,946.70/154,420.05 = 36,386.30/x
  3. Step 3: Cross multiply
    102,946.70x = 154,420.05 × 36,386.30
  4. Step 4: Simplify right side
    102,946.70x = 5,618,774,265.32
  5. Step 5: Solve for x
    x = 5,618,774,265.32/102,946.70
  6. Step 6: Final answer
    x = 54,579.45

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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.