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Finding the Fourth Proportional to 78,373.42, 108,154.93 and 42,563.14

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Solution

The fourth proportional to 78,373.42, 108,154.93 and 42,563.14 is: 58,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,373.42 : 108,154.93 = 42,563.14 : x
  2. Step 2: Convert to fraction form
    78,373.42/108,154.93 = 42,563.14/x
  3. Step 3: Cross multiply
    78,373.42x = 108,154.93 × 42,563.14
  4. Step 4: Simplify right side
    78,373.42x = 4,603,413,427.28
  5. Step 5: Solve for x
    x = 4,603,413,427.28/78,373.42
  6. Step 6: Final answer
    x = 58,736.92

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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.