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Finding the Fourth Proportional to 141,963, 212,980.50 and 53,216.76

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Solution

The fourth proportional to 141,963, 212,980.50 and 53,216.76 is: 79,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,963 : 212,980.50 = 53,216.76 : x
  2. Step 2: Convert to fraction form
    141,963/212,980.50 = 53,216.76/x
  3. Step 3: Cross multiply
    141,963x = 212,980.50 × 53,216.76
  4. Step 4: Simplify right side
    141,963x = 11,334,132,153.18
  5. Step 5: Solve for x
    x = 11,334,132,153.18/141,963
  6. Step 6: Final answer
    x = 79,838.64

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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.