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Finding the Fourth Proportional to 145,951.41, 201,412.86 and 78,883.41

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Solution

The fourth proportional to 145,951.41, 201,412.86 and 78,883.41 is: 108,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,951.41 : 201,412.86 = 78,883.41 : x
  2. Step 2: Convert to fraction form
    145,951.41/201,412.86 = 78,883.41/x
  3. Step 3: Cross multiply
    145,951.41x = 201,412.86 × 78,883.41
  4. Step 4: Simplify right side
    145,951.41x = 15,888,134,117.86
  5. Step 5: Solve for x
    x = 15,888,134,117.86/145,951.41
  6. Step 6: Final answer
    x = 108,859.06

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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.