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Finding the Fourth Proportional to 105,403.70, 145,458.16 and 57,656

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Solution

The fourth proportional to 105,403.70, 145,458.16 and 57,656 is: 79,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,403.70 : 145,458.16 = 57,656 : x
  2. Step 2: Convert to fraction form
    105,403.70/145,458.16 = 57,656/x
  3. Step 3: Cross multiply
    105,403.70x = 145,458.16 × 57,656
  4. Step 4: Simplify right side
    105,403.70x = 8,386,535,672.96
  5. Step 5: Solve for x
    x = 8,386,535,672.96/105,403.70
  6. Step 6: Final answer
    x = 79,565.86

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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.