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Finding the Fourth Proportional to 80,070.16, 120,207.30 and 65,307.88

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Solution

The fourth proportional to 80,070.16, 120,207.30 and 65,307.88 is: 98,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,070.16 : 120,207.30 = 65,307.88 : x
  2. Step 2: Convert to fraction form
    80,070.16/120,207.30 = 65,307.88/x
  3. Step 3: Cross multiply
    80,070.16x = 120,207.30 × 65,307.88
  4. Step 4: Simplify right side
    80,070.16x = 7,850,483,923.52
  5. Step 5: Solve for x
    x = 7,850,483,923.52/80,070.16
  6. Step 6: Final answer
    x = 98,045.06

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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.