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Finding the Fourth Proportional to 65,926.74, 90,978.36 and 35,711.36

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Solution

The fourth proportional to 65,926.74, 90,978.36 and 35,711.36 is: 49,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,926.74 : 90,978.36 = 35,711.36 : x
  2. Step 2: Convert to fraction form
    65,926.74/90,978.36 = 35,711.36/x
  3. Step 3: Cross multiply
    65,926.74x = 90,978.36 × 35,711.36
  4. Step 4: Simplify right side
    65,926.74x = 3,248,960,966.17
  5. Step 5: Solve for x
    x = 3,248,960,966.17/65,926.74
  6. Step 6: Final answer
    x = 49,281.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.