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Finding the Fourth Proportional to 65,306, 90,122.40 and 35,498

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Solution

The fourth proportional to 65,306, 90,122.40 and 35,498 is: 48,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306 : 90,122.40 = 35,498 : x
  2. Step 2: Convert to fraction form
    65,306/90,122.40 = 35,498/x
  3. Step 3: Cross multiply
    65,306x = 90,122.40 × 35,498
  4. Step 4: Simplify right side
    65,306x = 3,199,164,955.20
  5. Step 5: Solve for x
    x = 3,199,164,955.20/65,306
  6. Step 6: Final answer
    x = 48,987.31

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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.