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Finding the Fourth Proportional to 238,237.93, 357,400.73 and 78,322.87

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Solution

The fourth proportional to 238,237.93, 357,400.73 and 78,322.87 is: 117,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,237.93 : 357,400.73 = 78,322.87 : x
  2. Step 2: Convert to fraction form
    238,237.93/357,400.73 = 78,322.87/x
  3. Step 3: Cross multiply
    238,237.93x = 357,400.73 × 78,322.87
  4. Step 4: Simplify right side
    238,237.93x = 27,992,650,913.70
  5. Step 5: Solve for x
    x = 27,992,650,913.70/238,237.93
  6. Step 6: Final answer
    x = 117,498.72

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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.