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Finding the Fourth Proportional to 208,005.93, 287,041.46 and 131,566.77

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Solution

The fourth proportional to 208,005.93, 287,041.46 and 131,566.77 is: 181,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,005.93 : 287,041.46 = 131,566.77 : x
  2. Step 2: Convert to fraction form
    208,005.93/287,041.46 = 131,566.77/x
  3. Step 3: Cross multiply
    208,005.93x = 287,041.46 × 131,566.77
  4. Step 4: Simplify right side
    208,005.93x = 37,765,117,090.45
  5. Step 5: Solve for x
    x = 37,765,117,090.45/208,005.93
  6. Step 6: Final answer
    x = 181,557.89

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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.