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Finding the Fourth Proportional to 141,659.76, 212,411 and 65,675.28

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Solution

The fourth proportional to 141,659.76, 212,411 and 65,675.28 is: 98,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,659.76 : 212,411 = 65,675.28 : x
  2. Step 2: Convert to fraction form
    141,659.76/212,411 = 65,675.28/x
  3. Step 3: Cross multiply
    141,659.76x = 212,411 × 65,675.28
  4. Step 4: Simplify right side
    141,659.76x = 13,950,151,900.08
  5. Step 5: Solve for x
    x = 13,950,151,900.08/141,659.76
  6. Step 6: Final answer
    x = 98,476.46

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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.