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Finding the Fourth Proportional to 78,112.90, 107,794.47 and 42,302.62

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Solution

The fourth proportional to 78,112.90, 107,794.47 and 42,302.62 is: 58,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,112.90 : 107,794.47 = 42,302.62 : x
  2. Step 2: Convert to fraction form
    78,112.90/107,794.47 = 42,302.62/x
  3. Step 3: Cross multiply
    78,112.90x = 107,794.47 × 42,302.62
  4. Step 4: Simplify right side
    78,112.90x = 4,559,988,502.51
  5. Step 5: Solve for x
    x = 4,559,988,502.51/78,112.90
  6. Step 6: Final answer
    x = 58,376.89

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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.