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Finding the Fourth Proportional to 238,397.93, 357,568.55 and 78,434.19

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Solution

The fourth proportional to 238,397.93, 357,568.55 and 78,434.19 is: 117,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,397.93 : 357,568.55 = 78,434.19 : x
  2. Step 2: Convert to fraction form
    238,397.93/357,568.55 = 78,434.19/x
  3. Step 3: Cross multiply
    238,397.93x = 357,568.55 × 78,434.19
  4. Step 4: Simplify right side
    238,397.93x = 28,045,599,588.72
  5. Step 5: Solve for x
    x = 28,045,599,588.72/238,397.93
  6. Step 6: Final answer
    x = 117,641.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.