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Finding the Fourth Proportional to 75,170.78, 103,732.98 and 42,907.07

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Solution

The fourth proportional to 75,170.78, 103,732.98 and 42,907.07 is: 59,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,170.78 : 103,732.98 = 42,907.07 : x
  2. Step 2: Convert to fraction form
    75,170.78/103,732.98 = 42,907.07/x
  3. Step 3: Cross multiply
    75,170.78x = 103,732.98 × 42,907.07
  4. Step 4: Simplify right side
    75,170.78x = 4,450,877,749.10
  5. Step 5: Solve for x
    x = 4,450,877,749.10/75,170.78
  6. Step 6: Final answer
    x = 59,210.21

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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.