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Finding the Fourth Proportional to 72,932.81, 100,655.36 and 42,312.68

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Solution

The fourth proportional to 72,932.81, 100,655.36 and 42,312.68 is: 58,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,932.81 : 100,655.36 = 42,312.68 : x
  2. Step 2: Convert to fraction form
    72,932.81/100,655.36 = 42,312.68/x
  3. Step 3: Cross multiply
    72,932.81x = 100,655.36 × 42,312.68
  4. Step 4: Simplify right side
    72,932.81x = 4,258,997,859.25
  5. Step 5: Solve for x
    x = 4,258,997,859.25/72,932.81
  6. Step 6: Final answer
    x = 58,396.19

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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.