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Finding the Fourth Proportional to 53,990.70, 74,475.09 and 42,035.10

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Solution

The fourth proportional to 53,990.70, 74,475.09 and 42,035.10 is: 57,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,990.70 : 74,475.09 = 42,035.10 : x
  2. Step 2: Convert to fraction form
    53,990.70/74,475.09 = 42,035.10/x
  3. Step 3: Cross multiply
    53,990.70x = 74,475.09 × 42,035.10
  4. Step 4: Simplify right side
    53,990.70x = 3,130,567,855.66
  5. Step 5: Solve for x
    x = 3,130,567,855.66/53,990.70
  6. Step 6: Final answer
    x = 57,983.46

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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.