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Finding the Fourth Proportional to 145,666.70, 201,023.80 and 82,006.77

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Solution

The fourth proportional to 145,666.70, 201,023.80 and 82,006.77 is: 113,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,666.70 : 201,023.80 = 82,006.77 : x
  2. Step 2: Convert to fraction form
    145,666.70/201,023.80 = 82,006.77/x
  3. Step 3: Cross multiply
    145,666.70x = 201,023.80 × 82,006.77
  4. Step 4: Simplify right side
    145,666.70x = 16,485,312,326.11
  5. Step 5: Solve for x
    x = 16,485,312,326.11/145,666.70
  6. Step 6: Final answer
    x = 113,171.46

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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.