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Finding the Fourth Proportional to 75,254.64, 112,900.80 and 53,111.28

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Solution

The fourth proportional to 75,254.64, 112,900.80 and 53,111.28 is: 79,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,254.64 : 112,900.80 = 53,111.28 : x
  2. Step 2: Convert to fraction form
    75,254.64/112,900.80 = 53,111.28/x
  3. Step 3: Cross multiply
    75,254.64x = 112,900.80 × 53,111.28
  4. Step 4: Simplify right side
    75,254.64x = 5,996,306,001.02
  5. Step 5: Solve for x
    x = 5,996,306,001.02/75,254.64
  6. Step 6: Final answer
    x = 79,680.22

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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.