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Finding the Fourth Proportional to 65,642.20, 98,582.10 and 57,477.40

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Solution

The fourth proportional to 65,642.20, 98,582.10 and 57,477.40 is: 86,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.20 : 98,582.10 = 57,477.40 : x
  2. Step 2: Convert to fraction form
    65,642.20/98,582.10 = 57,477.40/x
  3. Step 3: Cross multiply
    65,642.20x = 98,582.10 × 57,477.40
  4. Step 4: Simplify right side
    65,642.20x = 5,666,242,794.54
  5. Step 5: Solve for x
    x = 5,666,242,794.54/65,642.20
  6. Step 6: Final answer
    x = 86,320.12

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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.