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Finding the Fourth Proportional to 148,570.50, 205,023.99 and 84,031.20

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Solution

The fourth proportional to 148,570.50, 205,023.99 and 84,031.20 is: 115,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,570.50 : 205,023.99 = 84,031.20 : x
  2. Step 2: Convert to fraction form
    148,570.50/205,023.99 = 84,031.20/x
  3. Step 3: Cross multiply
    148,570.50x = 205,023.99 × 84,031.20
  4. Step 4: Simplify right side
    148,570.50x = 17,228,411,908.49
  5. Step 5: Solve for x
    x = 17,228,411,908.49/148,570.50
  6. Step 6: Final answer
    x = 115,961.19

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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.