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Finding the Fourth Proportional to 102,163.94, 140,973.98 and 56,830.48

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Solution

The fourth proportional to 102,163.94, 140,973.98 and 56,830.48 is: 78,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163.94 : 140,973.98 = 56,830.48 : x
  2. Step 2: Convert to fraction form
    102,163.94/140,973.98 = 56,830.48/x
  3. Step 3: Cross multiply
    102,163.94x = 140,973.98 × 56,830.48
  4. Step 4: Simplify right side
    102,163.94x = 8,011,618,950.91
  5. Step 5: Solve for x
    x = 8,011,618,950.91/102,163.94
  6. Step 6: Final answer
    x = 78,419.24

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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.