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Finding the Fourth Proportional to 77,319.88, 106,700.82 and 70,972.10

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Solution

The fourth proportional to 77,319.88, 106,700.82 and 70,972.10 is: 97,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,319.88 : 106,700.82 = 70,972.10 : x
  2. Step 2: Convert to fraction form
    77,319.88/106,700.82 = 70,972.10/x
  3. Step 3: Cross multiply
    77,319.88x = 106,700.82 × 70,972.10
  4. Step 4: Simplify right side
    77,319.88x = 7,572,781,267.12
  5. Step 5: Solve for x
    x = 7,572,781,267.12/77,319.88
  6. Step 6: Final answer
    x = 97,940.93

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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.