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Finding the Fourth Proportional to 65,846.80, 98,656.80 and 30,714.40

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Solution

The fourth proportional to 65,846.80, 98,656.80 and 30,714.40 is: 46,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846.80 : 98,656.80 = 30,714.40 : x
  2. Step 2: Convert to fraction form
    65,846.80/98,656.80 = 30,714.40/x
  3. Step 3: Cross multiply
    65,846.80x = 98,656.80 × 30,714.40
  4. Step 4: Simplify right side
    65,846.80x = 3,030,184,417.92
  5. Step 5: Solve for x
    x = 3,030,184,417.92/65,846.80
  6. Step 6: Final answer
    x = 46,018.70

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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.