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Finding the Fourth Proportional to 75,580, 104,300.40 and 42,046

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Solution

The fourth proportional to 75,580, 104,300.40 and 42,046 is: 58,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,580 : 104,300.40 = 42,046 : x
  2. Step 2: Convert to fraction form
    75,580/104,300.40 = 42,046/x
  3. Step 3: Cross multiply
    75,580x = 104,300.40 × 42,046
  4. Step 4: Simplify right side
    75,580x = 4,385,414,618.40
  5. Step 5: Solve for x
    x = 4,385,414,618.40/75,580
  6. Step 6: Final answer
    x = 58,023.48

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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.