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Finding the Fourth Proportional to 78,186.79, 107,894.86 and 42,376.02

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Solution

The fourth proportional to 78,186.79, 107,894.86 and 42,376.02 is: 58,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,186.79 : 107,894.86 = 42,376.02 : x
  2. Step 2: Convert to fraction form
    78,186.79/107,894.86 = 42,376.02/x
  3. Step 3: Cross multiply
    78,186.79x = 107,894.86 × 42,376.02
  4. Step 4: Simplify right side
    78,186.79x = 4,572,154,745.26
  5. Step 5: Solve for x
    x = 4,572,154,745.26/78,186.79
  6. Step 6: Final answer
    x = 58,477.33

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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.