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Finding the Fourth Proportional to 291,523.95, 437,412.87 and 102,120.66

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Solution

The fourth proportional to 291,523.95, 437,412.87 and 102,120.66 is: 153,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,523.95 : 437,412.87 = 102,120.66 : x
  2. Step 2: Convert to fraction form
    291,523.95/437,412.87 = 102,120.66/x
  3. Step 3: Cross multiply
    291,523.95x = 437,412.87 × 102,120.66
  4. Step 4: Simplify right side
    291,523.95x = 44,668,890,976.89
  5. Step 5: Solve for x
    x = 44,668,890,976.89/291,523.95
  6. Step 6: Final answer
    x = 153,225.46

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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.