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Finding the Fourth Proportional to 172,403.63, 258,602.83 and 77,566.84

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Solution

The fourth proportional to 172,403.63, 258,602.83 and 77,566.84 is: 116,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,403.63 : 258,602.83 = 77,566.84 : x
  2. Step 2: Convert to fraction form
    172,403.63/258,602.83 = 77,566.84/x
  3. Step 3: Cross multiply
    172,403.63x = 258,602.83 × 77,566.84
  4. Step 4: Simplify right side
    172,403.63x = 20,059,004,338.16
  5. Step 5: Solve for x
    x = 20,059,004,338.16/172,403.63
  6. Step 6: Final answer
    x = 116,349.08

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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.