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Finding the Fourth Proportional to 78,052.51, 107,712.44 and 42,242.52

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Solution

The fourth proportional to 78,052.51, 107,712.44 and 42,242.52 is: 58,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052.51 : 107,712.44 = 42,242.52 : x
  2. Step 2: Convert to fraction form
    78,052.51/107,712.44 = 42,242.52/x
  3. Step 3: Cross multiply
    78,052.51x = 107,712.44 × 42,242.52
  4. Step 4: Simplify right side
    78,052.51x = 4,550,044,900.95
  5. Step 5: Solve for x
    x = 4,550,044,900.95/78,052.51
  6. Step 6: Final answer
    x = 58,294.66

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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.