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Finding the Fourth Proportional to 105,322.55, 145,345.16 and 57,575.89

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Solution

The fourth proportional to 105,322.55, 145,345.16 and 57,575.89 is: 79,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,322.55 : 145,345.16 = 57,575.89 : x
  2. Step 2: Convert to fraction form
    105,322.55/145,345.16 = 57,575.89/x
  3. Step 3: Cross multiply
    105,322.55x = 145,345.16 × 57,575.89
  4. Step 4: Simplify right side
    105,322.55x = 8,368,376,944.19
  5. Step 5: Solve for x
    x = 8,368,376,944.19/105,322.55
  6. Step 6: Final answer
    x = 79,454.75

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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.