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Finding the Fourth Proportional to 39,876.40, 59,699.40 and 35,729.20

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Solution

The fourth proportional to 39,876.40, 59,699.40 and 35,729.20 is: 53,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,876.40 : 59,699.40 = 35,729.20 : x
  2. Step 2: Convert to fraction form
    39,876.40/59,699.40 = 35,729.20/x
  3. Step 3: Cross multiply
    39,876.40x = 59,699.40 × 35,729.20
  4. Step 4: Simplify right side
    39,876.40x = 2,133,011,802.48
  5. Step 5: Solve for x
    x = 2,133,011,802.48/39,876.40
  6. Step 6: Final answer
    x = 53,490.58

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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.