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Finding the Fourth Proportional to 75,902, 104,744.88 and 42,368

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Solution

The fourth proportional to 75,902, 104,744.88 and 42,368 is: 58,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,902 : 104,744.88 = 42,368 : x
  2. Step 2: Convert to fraction form
    75,902/104,744.88 = 42,368/x
  3. Step 3: Cross multiply
    75,902x = 104,744.88 × 42,368
  4. Step 4: Simplify right side
    75,902x = 4,437,831,075.84
  5. Step 5: Solve for x
    x = 4,437,831,075.84/75,902
  6. Step 6: Final answer
    x = 58,467.91

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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.