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Finding the Fourth Proportional to 140,263.17, 210,415.54 and 51,509.78

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Solution

The fourth proportional to 140,263.17, 210,415.54 and 51,509.78 is: 77,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,263.17 : 210,415.54 = 51,509.78 : x
  2. Step 2: Convert to fraction form
    140,263.17/210,415.54 = 51,509.78/x
  3. Step 3: Cross multiply
    140,263.17x = 210,415.54 × 51,509.78
  4. Step 4: Simplify right side
    140,263.17x = 10,838,458,173.98
  5. Step 5: Solve for x
    x = 10,838,458,173.98/140,263.17
  6. Step 6: Final answer
    x = 77,272.30

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1.5x scale

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.