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Finding the Fourth Proportional to 105,322.47, 145,347.30 and 57,575.79

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Solution

The fourth proportional to 105,322.47, 145,347.30 and 57,575.79 is: 79,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,322.47 : 145,347.30 = 57,575.79 : x
  2. Step 2: Convert to fraction form
    105,322.47/145,347.30 = 57,575.79/x
  3. Step 3: Cross multiply
    105,322.47x = 145,347.30 × 57,575.79
  4. Step 4: Simplify right side
    105,322.47x = 8,368,485,621.87
  5. Step 5: Solve for x
    x = 8,368,485,621.87/105,322.47
  6. Step 6: Final answer
    x = 79,455.84

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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.