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Finding the Fourth Proportional to 77,385.84, 115,877.16 and 42,253.44

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Solution

The fourth proportional to 77,385.84, 115,877.16 and 42,253.44 is: 63,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,385.84 : 115,877.16 = 42,253.44 : x
  2. Step 2: Convert to fraction form
    77,385.84/115,877.16 = 42,253.44/x
  3. Step 3: Cross multiply
    77,385.84x = 115,877.16 × 42,253.44
  4. Step 4: Simplify right side
    77,385.84x = 4,896,208,627.43
  5. Step 5: Solve for x
    x = 4,896,208,627.43/77,385.84
  6. Step 6: Final answer
    x = 63,270.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.