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Finding the Fourth Proportional to 77,335.78, 106,731.94 and 43,349.80

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Solution

The fourth proportional to 77,335.78, 106,731.94 and 43,349.80 is: 59,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,335.78 : 106,731.94 = 43,349.80 : x
  2. Step 2: Convert to fraction form
    77,335.78/106,731.94 = 43,349.80/x
  3. Step 3: Cross multiply
    77,335.78x = 106,731.94 × 43,349.80
  4. Step 4: Simplify right side
    77,335.78x = 4,626,808,252.61
  5. Step 5: Solve for x
    x = 4,626,808,252.61/77,335.78
  6. Step 6: Final answer
    x = 59,827.52

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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.