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Finding the Fourth Proportional to 105,297.90, 145,311.12 and 59,980.11

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Solution

The fourth proportional to 105,297.90, 145,311.12 and 59,980.11 is: 82,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,297.90 : 145,311.12 = 59,980.11 : x
  2. Step 2: Convert to fraction form
    105,297.90/145,311.12 = 59,980.11/x
  3. Step 3: Cross multiply
    105,297.90x = 145,311.12 × 59,980.11
  4. Step 4: Simplify right side
    105,297.90x = 8,715,776,961.82
  5. Step 5: Solve for x
    x = 8,715,776,961.82/105,297.90
  6. Step 6: Final answer
    x = 82,772.56

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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.