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Finding the Fourth Proportional to 70,035, 105,058.91 and 27,904.87

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Solution

The fourth proportional to 70,035, 105,058.91 and 27,904.87 is: 41,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,035 : 105,058.91 = 27,904.87 : x
  2. Step 2: Convert to fraction form
    70,035/105,058.91 = 27,904.87/x
  3. Step 3: Cross multiply
    70,035x = 105,058.91 × 27,904.87
  4. Step 4: Simplify right side
    70,035x = 2,931,655,225.89
  5. Step 5: Solve for x
    x = 2,931,655,225.89/70,035
  6. Step 6: Final answer
    x = 41,859.86

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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.