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Finding the Fourth Proportional to 141,866.28, 212,655.80 and 91,978.08

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Solution

The fourth proportional to 141,866.28, 212,655.80 and 91,978.08 is: 137,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,866.28 : 212,655.80 = 91,978.08 : x
  2. Step 2: Convert to fraction form
    141,866.28/212,655.80 = 91,978.08/x
  3. Step 3: Cross multiply
    141,866.28x = 212,655.80 × 91,978.08
  4. Step 4: Simplify right side
    141,866.28x = 19,559,672,184.86
  5. Step 5: Solve for x
    x = 19,559,672,184.86/141,866.28
  6. Step 6: Final answer
    x = 137,874.00

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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.