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Finding the Fourth Proportional to 75,762, 104,554.80 and 42,228

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Solution

The fourth proportional to 75,762, 104,554.80 and 42,228 is: 58,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762 : 104,554.80 = 42,228 : x
  2. Step 2: Convert to fraction form
    75,762/104,554.80 = 42,228/x
  3. Step 3: Cross multiply
    75,762x = 104,554.80 × 42,228
  4. Step 4: Simplify right side
    75,762x = 4,415,140,094.40
  5. Step 5: Solve for x
    x = 4,415,140,094.40/75,762
  6. Step 6: Final answer
    x = 58,276.45

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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.