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Finding the Fourth Proportional to 78,034.96, 107,688.08 and 42,224.96

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Solution

The fourth proportional to 78,034.96, 107,688.08 and 42,224.96 is: 58,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.96 : 107,688.08 = 42,224.96 : x
  2. Step 2: Convert to fraction form
    78,034.96/107,688.08 = 42,224.96/x
  3. Step 3: Cross multiply
    78,034.96x = 107,688.08 × 42,224.96
  4. Step 4: Simplify right side
    78,034.96x = 4,547,125,245.26
  5. Step 5: Solve for x
    x = 4,547,125,245.26/78,034.96
  6. Step 6: Final answer
    x = 58,270.36

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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.