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Finding the Fourth Proportional to 75,989, 104,864.86 and 42,455

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Solution

The fourth proportional to 75,989, 104,864.86 and 42,455 is: 58,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,989 : 104,864.86 = 42,455 : x
  2. Step 2: Convert to fraction form
    75,989/104,864.86 = 42,455/x
  3. Step 3: Cross multiply
    75,989x = 104,864.86 × 42,455
  4. Step 4: Simplify right side
    75,989x = 4,452,037,631.30
  5. Step 5: Solve for x
    x = 4,452,037,631.30/75,989
  6. Step 6: Final answer
    x = 58,587.92

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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.