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Finding the Fourth Proportional to 191,954.70, 287,802.45 and 102,012.30

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Solution

The fourth proportional to 191,954.70, 287,802.45 and 102,012.30 is: 152,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,954.70 : 287,802.45 = 102,012.30 : x
  2. Step 2: Convert to fraction form
    191,954.70/287,802.45 = 102,012.30/x
  3. Step 3: Cross multiply
    191,954.70x = 287,802.45 × 102,012.30
  4. Step 4: Simplify right side
    191,954.70x = 29,359,389,870.14
  5. Step 5: Solve for x
    x = 29,359,389,870.14/191,954.70
  6. Step 6: Final answer
    x = 152,949.58

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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.