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Finding the Fourth Proportional to 138,813, 191,475.81 and 102,477.30

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Solution

The fourth proportional to 138,813, 191,475.81 and 102,477.30 is: 141,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,813 : 191,475.81 = 102,477.30 : x
  2. Step 2: Convert to fraction form
    138,813/191,475.81 = 102,477.30/x
  3. Step 3: Cross multiply
    138,813x = 191,475.81 × 102,477.30
  4. Step 4: Simplify right side
    138,813x = 19,621,924,024.11
  5. Step 5: Solve for x
    x = 19,621,924,024.11/138,813
  6. Step 6: Final answer
    x = 141,355.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.