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Finding the Fourth Proportional to 78,194.66, 107,908.82 and 42,384.63

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Solution

The fourth proportional to 78,194.66, 107,908.82 and 42,384.63 is: 58,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,194.66 : 107,908.82 = 42,384.63 : x
  2. Step 2: Convert to fraction form
    78,194.66/107,908.82 = 42,384.63/x
  3. Step 3: Cross multiply
    78,194.66x = 107,908.82 × 42,384.63
  4. Step 4: Simplify right side
    78,194.66x = 4,573,675,197.51
  5. Step 5: Solve for x
    x = 4,573,675,197.51/78,194.66
  6. Step 6: Final answer
    x = 58,490.89

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1.5x scale

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.