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Finding the Fourth Proportional to 151,356.77, 208,830.77 and 105,364.87

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Solution

The fourth proportional to 151,356.77, 208,830.77 and 105,364.87 is: 145,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,356.77 : 208,830.77 = 105,364.87 : x
  2. Step 2: Convert to fraction form
    151,356.77/208,830.77 = 105,364.87/x
  3. Step 3: Cross multiply
    151,356.77x = 208,830.77 × 105,364.87
  4. Step 4: Simplify right side
    151,356.77x = 22,003,426,933.05
  5. Step 5: Solve for x
    x = 22,003,426,933.05/151,356.77
  6. Step 6: Final answer
    x = 145,374.58

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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.