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Finding the Fourth Proportional to 78,240.42, 107,971.77 and 42,430.50

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Solution

The fourth proportional to 78,240.42, 107,971.77 and 42,430.50 is: 58,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,240.42 : 107,971.77 = 42,430.50 : x
  2. Step 2: Convert to fraction form
    78,240.42/107,971.77 = 42,430.50/x
  3. Step 3: Cross multiply
    78,240.42x = 107,971.77 × 42,430.50
  4. Step 4: Simplify right side
    78,240.42x = 4,581,296,186.99
  5. Step 5: Solve for x
    x = 4,581,296,186.99/78,240.42
  6. Step 6: Final answer
    x = 58,554.08

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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.