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Finding the Fourth Proportional to 65,985.80, 98,978.70 and 51,240.20

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Solution

The fourth proportional to 65,985.80, 98,978.70 and 51,240.20 is: 76,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,985.80 : 98,978.70 = 51,240.20 : x
  2. Step 2: Convert to fraction form
    65,985.80/98,978.70 = 51,240.20/x
  3. Step 3: Cross multiply
    65,985.80x = 98,978.70 × 51,240.20
  4. Step 4: Simplify right side
    65,985.80x = 5,071,688,383.74
  5. Step 5: Solve for x
    x = 5,071,688,383.74/65,985.80
  6. Step 6: Final answer
    x = 76,860.30

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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.