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Finding the Fourth Proportional to 141,903.90, 212,938.47 and 78,776.82

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Solution

The fourth proportional to 141,903.90, 212,938.47 and 78,776.82 is: 118,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,903.90 : 212,938.47 = 78,776.82 : x
  2. Step 2: Convert to fraction form
    141,903.90/212,938.47 = 78,776.82/x
  3. Step 3: Cross multiply
    141,903.90x = 212,938.47 × 78,776.82
  4. Step 4: Simplify right side
    141,903.90x = 16,774,615,522.27
  5. Step 5: Solve for x
    x = 16,774,615,522.27/141,903.90
  6. Step 6: Final answer
    x = 118,211.10

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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.